Quiz about Polynomial Quiz

Question 1

Which of the following IS a polynomial?

Accepted Answer

$$y=x^3-4x+2$$

Answer

$$y=\frac{3}{x-2}$$

Answer

$$y=\sqrt[]{x}-4x^{-1}$$

Answer

$$y=x^4-x^{\frac{3}{2}}+\frac{9}{x}$$

Question 2

What is the degree of the following polynomial?

$$y=5x^6-4x^3-7x+9$$

Accepted Answer

6

Answer

4

Answer

5

Answer

9

Question 3

How many terms does the following polynomial have?

$$y=5x^6-4x^3-7x+9$$

Accepted Answer

4

Answer

5

Answer

6

Answer

9

Question 4

What is the leading coefficient of the polynomial?

$$y=5x^6-4x^3-7x+9$$

Accepted Answer

5

Answer

-4

Answer

6

Answer

9

Question 5

What is the constant of the polynomial?

$$y=5x^6-4x^3-7x+9$$

Accepted Answer

9

Answer

4

Answer

5

Answer

6

Question 6

What is the degree of the following polynomial?

$$y=4x^5-3x^7+9x^6-8$$

Accepted Answer

7

Answer

4

Answer

5

Answer

6

Question 7

Name this polynomial according to its Degree and Number of Terms:

$$3x^2-7x+9$$

Accepted Answer

Quadratic Trinomial

Answer

Cubic Trinomial

Answer

Quadratic Binomial

Answer

Cubic Binomial

Question 8

Which polynomial has x-intercepts at $$x=-2,\ \frac{1}{3},4$$ ?

Accepted Answer

y=(x+2)(3x-1)(x-4)

Answer

y=(x-2)(3x-1)(x-4)

Answer

y=(x+2)(3x+1)(x+4)

Answer

y=(x-2)(3x+1)(x+4)

Question 9

Which polynomial function graph is shown here?

Accepted Answer

y=(x+4)(x+1)(x-3)

Answer

y=(x-4)(x-1)(x-3)

Answer

y=(x-4)(x-1)(x+3)

Answer

y=(x+4)(x+1)(x+3)

Question 10

What would be the leading coefficient of the following polynomial in Standard Form? $$y\ =\left(x+2\right)\left(3x-4\right)\left(7x-1\right)$$

Accepted Answer

21

Answer

1

Answer

8

Answer

10

Question 11

Select all polynomial expressions that are equivalent to

$$5x^3+7x-4x^2+5$$

Accepted Answer

$$5x^3-4x^2+7x+5$$

Accepted Answer

$$5+7x-4x^2+5x^3$$

Answer

$$13x^5$$

Answer

$$5+4x-7x^2+5x^3$$

Question 12

Simplify this expression:

3(2x-5) + 1

Accepted Answer

6x-14

Answer

5x-1

Answer

6x-12

Answer

5x-14

Question 13

Select a point where a relative minimum value occurs on this graph of a polynomial function.

Accepted Answer

E

Answer

D

Answer

G

Answer

H

Question 14

Which expression is equivalent to (x+2)(3x-4)?

Accepted Answer

$$3x^2+2x-8$$

Answer

$$4x-2$$

Answer

$$3x^2-8$$

Answer

$$3x^2-10x-8$$

Question 15

A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 20 in x 18 in by cutting equal squares with side length x from the corners and turning up the sides. Which polynomial represents V(x), the volume of the box?

Accepted Answer

V(x) = x(20-2x)(18-2x)

Answer

V(x) = x(20x+2)(18x+2)

Answer

V(x) = x(20x-2)(18x-2)

Answer

V(x) = x(20+2x)(18+2x)

Question 16

Evaluate the polynomial function $$f\left(x\right)\ =8x^3\ -2x^2\ -6x\ +4$$ at x = -2

Accepted Answer

-56

Answer

80

Answer

-80

Answer

-40

Question 17

Which of the following is NOT an x-intercept of the following polynomial?

$$f\left(x\right)=\left(3x-5\right)\left(x+4\right)\left(x-1\right)$$

Accepted Answer

(5,0)

Answer

(1,0)

Answer

( $$\frac{5}{3}$$ ,0)

Answer

(-4,0)

Question 18

Which of these standard form equations is equivalent to $$f\left(x\right)=\left(3x-1\right)\left(2x+3\right)\left(x-4\right)$$

Accepted Answer

$$f\left(x\right)=6x^3-17x^2-31x+12$$

Answer

$$f\left(x\right)=6x^3-17x^2-31x-12$$

Answer

$$f\left(x\right)=x^3-11x^2+6x+12$$

Answer

$$f\left(x\right)=x^3-11x^2+6x-12$$

Question 19

Given $$f(x)=(x-5)(x+1)(x-2)$$ , identify the y-intercept:

Accepted Answer

$$(0,\ 10)$$

Answer

$$(0,-2)$$

Answer

$$(0,-5)$$

Answer

$$(0,-6)$$

Question 20

Given $$f(x)=(x-5)(x+1)(x-2)$$ and $$g(x)=3(x-5)(x+1)(x-2)$$ select ALL the statements below that are TRUE:

Accepted Answer

$$f\left(x\right)\ and\ g\left(x\right)$$ have the same x-intercepts

Accepted Answer

The graph of $$g\left(x\right)$$ is 3 times more vertically stretched than the graph of $$f\left(x\right)$$

Answer

$$f\left(x\right)\ and\ g\left(x\right)$$ have the same y-intercept

Answer

The graph of $$g\left(x\right)$$ has 3 times more x-intercepts than $$f\left(x\right)$$

Answer

The degree of $$g\left(x\right)$$ and the degree of $$f\left(x\right)$$ are different.

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