Free Printable H.W 1-T3-2022-G10 CAI-Polynomial Functions

1.

f(x) = -3x⁴ + x³ - 2x² + x - 1

What is the y-intercept of f(x)?

a)

(-1, 0)

b)

(0, -1)

c)

(-3, 0)

d)

(0, -3)

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

The function shown has:

a)

Degree two with negative leading coefficient.

b)

Degree three with negative leading coefficient.

c)

Degree four with negative leading coefficient.

d)

Degree four with positive leading coefficient.

5.

Which of the following could be a possible equation for the function shown?

a)

f(x) =-2x³ + x² - 5x + 1

b)

f(x) = 2x³ - 4x² + x + 1

c)

f(x) = 3x² + 5x + 1

d)

f(x) = -2x³ +3x - 1

6.

State the minimum degree of the function shown:

a)

3

b)

4

c)

5

d)

6

7.

Which of the following functions could represent the graph shown?

a)

f(x) = -2x⁵

b)

f(x) = -2x⁴ + 7x³ + 3x² -5x + 8

c)

f(x) = 2x⁵ + 3x⁴ - 3x³ + 5x² - 3x + 4

d)

None of these functions could represent the graph shown.

8.

The function shown contains:

a)

Only one local maximum.

b)

Two local maximums.

c)

Two local minimums.

d)

Three local maximums

9.

Simplify:

(4x³ + 2x² - 5x - 9) + (-3x³ - 5x² - x + 11)

a)

7x³ + 7x² - 6x + 2

b)

x³ - 3x² - 6x + 2

c)

7x³ - 3x² - 6x + 2

d)

x³ + 7x² - 4x + 2

10.

Simplify: (x - 5)²

a)

x² - 25

b)

x² + 25

c)

x² - 10x + 25

d)

x² - 5x - 25

11.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

12.

Identify the zeros:

a)

x=2, x=6, x=-4

b)

(x+2)(x+6)(x-4)

c)

(x-2)(x-6)(x+4)

d)

x=-2, x=-6, x=4

13.

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

a)

Left side: Rises
Right side: Rises

b)

Left Side: Rises
Right side: Falls

c)

Left side: Falls
Right side: Rises

d)

Left side: Falls
Right side: Falls

14.

Describe the end behavior of a 15th degree polynomial with a positive leading coefficient. Choose all that apply.

a)

As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty

b)

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

c)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

d)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

15.

Decreasing Interval(s): (Choose all that apply)

a)

$\left(-\infty,\ 0\right)$

b)

$\left(-\infty,\ 3\right)$

c)

$\left(3,\ 5\right)$

d)

$\left(5,\ \infty\right)$

e)

$\left(-4,\ \infty\right)$

16.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

17.

What is the width of this rectangle?

a)

5x⁴ + 10x³

b)

x + 15x³

c)

x + 3

d)

x⁴ + 3x³

18.

Simplify this expression.

a)

-5x¹⁰

b)

4x⁴+ 18x⁶

c)

-6x⁴+ 16x²

d)

4x⁴- 9x²

19.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

20.

$\frac{6x^3-x^2-22x+15}{2x-3}=ax^2+bx+c.$ What is the value of a+b+c?

a)

12

b)

2

c)

3

d)

4

21.

a)

A

b)

B

c)

C

d)

D

H.W 1-T3-2022-G10 CAI-Polynomial Functions

Total questions: 21

Worksheet time: 1hrs 22mins

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