Write a polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively. What is its degree?

Answers

Answer 1

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,

[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]

Hence, the degree of the polynomial will be 5.

Learn more about Polynomial:

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Related Questions

The height of 14-year-old boys in the United States is normally distributed with a mean of 64.5 in, and a standard deviation of 3.1 in.
Label the normal curve by entering the value at each standard deviation in the box.

Answers

Answer:

61.4-67.6 - 68.37% likely to fall within this range.

58.3-70.7 - 95.45% likely to fall within this range.

55.2-73.8 - 99.73% likely to fall within this range.

Step-by-step explanation:

Is this adjacent, vertical, linear, or complimentary?

Answers

that graph seems to be complementary since both angles sum up to be 180 degrees.

Answer:

the adjacent is compimentary

Step-by-step explanation:

because I passed

Helpppppppppppppppp
find x​

Answers

Answer:

Answer is √2+11/2

And you can use calculator to get even more accurate answer though...

Step-by-step explanation:

this is what i get i hope this will hepl you ♡

No spammers pls and also giving brainliest to correct answer

Answers

Answer:

C. (5 , 6)

Step-by-step explanation:

a dilation of center O(0,0) and 3 as a scale factor :

Transform point (x , y) to point (3x , 3y)

Then it transforms R(1 , 2) to R’(3 , 6)

Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)

So , R’(3 , 6) ————> R’’(3+2 , 6)

A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?

Answers

Answer:

1 glass - 189 mm

thn 36 - 189 x 36

6804mm - 0.6 littre is holded by 36 glass

Two angles are supplementary angles if the sum of their measures is 180 degrees. Find the measures of two supplementary angles if the measure of one angle is 3 degrees less than twice the other.

Answers

Answer:

60 degrees and 119 degrees

if the smaller angle is x, then

x + 2x - 3 = 180

3x -3 + 3 = 180 + 3

3x/3 = 183/3

x=61

2(61) - 3 = 119

•** Plss help me **•

Answers

I think the answer is 30km^2

1/2 ×4 × 15 = 30

Answer:
The answer is 30
Explanation:
4+b=7
b=3
1/2 x 12 x 4= 24
1/2 x 4 x 3= 6
24+6
30

Robin has a basket that has 2 oranges in it
and 5 apples. What is the probability that she
chooses 3 oranges in a row with replacement.

Answers

Answer:

it is very high because

Step-by-step explanation:

5-2+3 so maybe it a subtraction problem hope this works

What's more 10/4 miles or 5/2 miles

Answers

Answer:

They are equal

Make them into mixed numbers

10/4 = 2 2/4 you can put this into its simplest form so 2 1/2

5/2 = 2 1/2

10/4 miles is the same as 5/2 miles so there considered equal

Find the inverse of the matrix using elementary row operations on the augmented matrix
(Answers are on picture)

Answers

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].

How to determine the inverse matrix

A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:

[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex]   (1)

Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.

If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:

[tex]\det (\vec A) = -2[/tex]

[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]

To learn more on matrices, we kindly invite to check this verified question: https://brainly.com/question/11367104

question: find the area of the following figure.

Answers

Answer:

Area=length×width

11.4×11.4=129.96

so the area is 129.96

Hope this helps!

given:

length= 11.4 in

to find:

the area of the given figure.

solution:

[tex]a = l \times l \: or \: l {}^{2} [/tex]

[tex]a = {11.4}^{2} [/tex]

[tex]a = 129.96 \: {in}^{2} [/tex]

therefore, the area of the square is 129.96 square inches.

PLEASEE HELPPP!!!!

The area of a rectangle is 140 square inches. The
perimeter of the same rectangle is 48 inches. What
are the length and width of the rectangle?

Answers

Answer:

Length can be 14 - 10 inches

Width can be 10 - 14 inches

Write the number in scientific notation. 0.0805

a)8.05 × 10
b)0.805 × 10–1
c)80.5 × 100–3
d)8.05 × 10–2

Answers

D , you would move the decimal so there would only be one non digit zero to the left decimal and then move exponent on the 10. if you move the decimal to right there would be a negative exponent and that makes the left decimal a positive

3 Evaluate( 2+i) squarerooted power 8




Answers

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]

Solve For X, using the given triangle.

Please answer quick! Also, keep in mind that this uses stuff like sin, cos, and tan. I'm looking for like trig and whatnot, please help!

Answers

Step-by-step explanation:

[tex] \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83[/tex]

Answer:

x = 19.8

Step-by-step explanation:

You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.

tan = opposite/adjacent

31tan = x/33

Multiply both sides by 33

33(31tan) = (33) x/33

33(31tan) = x

Find the tan of 31° using a scientific calculator.

tan 31° is about 0.6

Solve for x

33(0.6) = x

x = 19.83

rounded to the the nearest tenth

x = 19.8

Brainliest?

Find the value of x.

Answers

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

Four grade levels need equal time for indoor recess and the gym is available for three hours . How many hours of recess will each grade level receive​

Answers

1 hour = 60 minutes
3 hours = 180 minutes

180 minutes divided by 4 grade levels = 45 minutes per grade level.

45 minutes x 4 classes = 180 minutes total

Each grade level will receive 45 minutes in the gym equally.

f(X)= _3 x²_7x_9

f(_5) +f(2)=

Answers

Answer:

Step-by-step explanation:

[tex]-3x^2-7x-9=F(x)[/tex]

[tex]F(-5)=-75+40-9=-49[/tex]

[tex]F(2)=-12-14-9=-35[/tex]

[tex]f(-5)+f(2)=-49-35=-84[/tex]

sophia is designig a logo with three lines,y, m, and n. Line m passes through point (-2, -1) and is perpendicular to the graoh of y=-2/3 x +6. line n is parallel to line m and passes through the point (4, -3). what is the equation in slope-intercept form of linen?

Answers

Answer:

y = 3/2x - 9

Step-by-step explanation:

Finding equation of line m

⊥ to the line y = -2/3x + 6new slope = -(-3/2) = 3/2Passes through the point (-2, -1)y + 1 = 3/2(x + 2)y + 1 = 3/2x + 3y = 3/2x + 2

Equation of line n

Parallel ⇒ slope is same = 3/2Passes through the point (4, -3)y + 3 = 3/2(x - 4)y + 3 = 3/2x - 6y = 3/2x - 9

Answer:

[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]

Step-by-step explanation:

Equation of line m

If two lines are perpendicular to each other, the product of their slopes will be -1.

The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]

Therefore, the slope of the line m is:

[tex]\implies m \times -\dfrac23=-1[/tex]

[tex]\implies m=\dfrac32[/tex]

If line m passes through point (-2, -1), then the equation of line m is:

[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]

[tex]\implies y+1=\dfrac32(x+2)[/tex]

[tex]\implies y=\dfrac32x+2[/tex]

Equation of line n

If line n is parallel to line m, then they will have the same slope.

Therefore, slope of line n is [tex]\frac32[/tex]

If line n passes through point (4, -3), then the equation of line n is:

[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]

[tex]\implies y+3=\dfrac32x-6[/tex]

[tex]\implies y=\dfrac32x-9[/tex]

If 25 workers can complete a work in 48 days, then in how many days 20 workers will complete the same work?​

Answers

Answer:

heya! ^^

given that ,

25 workers together complete a certain piece of work in 48 days.

here , we've to find the number of days in which 20 workers can complete the same work ~

_____________________________

so let's start ~

★ 25 workers complete the work in = 48 days

★ 1 worker will complete the work in = 25 × 48 days

now ,

29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]

hope helpful :D

Answer:

60 days

Step-by-step explanation:

Thing to Remember

Number of workers is inversely proportional to the number of days

Solving

25 men can do a certain amount of work in 48 days25 men is reduced to 20 men ⇒ x 4/5Therefore, no. of days = inverse of rate of workers x 48⇒ 5/4 x 48 = 5 x 12 = 60 days

Find the product of 3.6 and 0.003

Answers

Answer:

0.0108

Step-by-step explanation:

3.6 multiplied by 0.003

1. First you write down the numbers one on top of the other

0.003

x   3.6

-----------

2. Multiply 6 by all the numbers in 0.003

0.003

x   3.6

-----------

  0018

3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place

0.003

x   3.6

---------------

     0018

+ 00090

---------------

4. Add the numbers you got

0.003

x   3.6

---------------

     0018

+ 00090

---------------

   00108

5. Count the number of decimal points or numbers after the decimal point in both numbers and add them

3.6 = one decimal place

0.003= three decimal places

Three plus one = four

6. Count the total number of decimal places

0010.8 = one decimal place

001.08 = two decimal places

00.108 = three decimal places

0.0108 = four decimal places

Is the sequence An a function? Why or why not?

Answers

Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.

Hope this helps! Have a good day! :)

BRAINLIEST FOR RIGHT ANSWER!

Find the surface area of this rectangular prism. Be sure to include the CORRECT UNIT in your answer.

Answers

Answer:

188 m²

Step-by-step explanation:

The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.

1) Plug the values into the formula.

[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]

2) Solve it.

[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]

A = 188 m²

please help me Find the value of x

Answers

Answer:

x=3

Step-by-step explanation:

3x+1+15

/2

= 12.5

Solve for the value of m. M+4 7/8 =9

Answers

Answer:

M=33/8

Step-by-step explanation:

Answer:

M+4 7/8 =9

Step-by-step explanation:

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + 2 x + 10 a. (1, 9) c. (1, 10) b. (-1, 10) d. (-1, 9)

Answers

Step-by-step explanation:

Answer: its d

Step-by-step explanation:

Admission to the county fair is $15, and each ride ticket costs $1.75. Write an expression to describe the total cost of 8 rides.

Answers

1.75x + 15

x=8

1.75(8) + 15
14 + 15 = 29

PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54

Answers

Answer:

M"(-5, -7)N"(-5, -3)O"(0, -3)

Step-by-step explanation:

Each of the transformations can be written in terms of what they do to the coordinates:

  (x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW

  (x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down

__

Together, these transformations result in the composite transformation ...

  (x, y) ⇒ (-y -7, x -8)

The end values of the original points are then ...

  M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)

  N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)

  O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)

_____

Additional comment

You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)

Alternatively, you can turn your head sideways when you look at the computer screen.

In the attachment, the black arrow represents the translation vector, 7 left and 8 down.

PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?

Answers

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

PLS HELP FAST!!! NO LINKS

Answers

The top answer is correct.

Answer:

Im 98% sure its the first one

Step-by-step explanation:

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