Free Printable Dis UNIT 3 TEST Polynomial Functions

1.

$h\left(t\right)=2t^2-7t$ find $h\left(-1\right)$

a)

$h\left(-1\right)=-5$

b)

$h\left(-1\right)=9$

c)

$h\left(-1\right)=-9$

d)

$h\left(-1\right)=5$

2.

Find g[f(h(0))]

a)

-40

b)

40

c)

-79

d)

79

3.

If f(x) = -4x - 5 and

g(x) = 3 - x,

what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

4.

Find f(g(x))

a)

x² +14

b)

x² + 6

c)

x² - 8x + 6

d)

x² - 14

5.

Find g(f(x))

a)

x² - 8x + 6

b)

x² - 8x + 16

c)

x² - 8x + 4

d)

x² - 14

6.

What is the inverse of this function?

a)

A

b)

B

c)

C

d)

D

7.

How many roots or zeros does the equation

f(x) = 5x⁴-8x³+4x²-6x+3 have?

a)

3

b)

4

c)

5

d)

0

8.

Use Descartes's rule of signs to determine the number of possible positive real zeros for

f(x) =3x⁴-7x³-4x²-5x-9.

a)

0 possible positive real zeros

b)

1 possible positive real zero

c)

2 or 0 possible positive real zeros

d)

3 or 1 possible positive real zeros

9.

Use Descartes's rule of signs to determine the number of possible negative real zeros for f(x) = 3x⁴ - 7x³ - 4x² - 5x - 9.

a)

0 possible negative real zeros

b)

1 possible negative real zero

c)

2 or 0 possible negative real zeros

d)

3 or 1 possible negative real zeros

10.

Use the rational zero test to determine all the p/q values for f(x) =

x⁴ - 3x³ + 6x² - 8x - 28

a)

±1, 2, 4, 8, 12, 14, 28

b)

± 1∕4, 1∕2, 1, 2, 4, 7, 14, 28

c)

±1, 2, 4, 7, 14, 28

d)

±1, 28

11.

What does multiplicity of a zero mean?

a)

Look at the number of terms

b)

How many times the zero repeats

c)

Find the sum of all the coefficients

d)

Ratio your x and y

12.

Do synthetic division with x = -2 for

f(x) = x⁴-6x³+7x²+6x-8 and then classify x = -2 properly.

a)

x = -2 is a zero.

b)

x = -2 is an upper bound.

c)

x = -2 is a lower bound.

d)

x = -2 is not a zero or an upper or lower bound.

13.

Do synthetic division with x = 8 for

f(x) = x⁴-6x³+7x²+6x-8 and then classify x = 8 properly.

a)

x = 8 is a zero.

b)

x = 8 is an upper bound.

c)

x = 8 is a lower bound.

d)

x = 8 is not a zero or an upper or lower bound.

14.

Find all roots/zeros/x-intercepts/solutions.

a)

$x=0,\ 1\ \pm2i\sqrt{6}$

b)

$x=0,\ 1\ \pm i\sqrt{22}$

c)

$x=0,\ 1\ \pm5i$

d)

$x=0,\ 1\ \pm\sqrt{26}$

15.

Find all roots/zeros/x-intercepts/solutions.

a)

$x=\pm i\sqrt{2},\pm\sqrt{5},\pm i\sqrt{5}$

b)

$x=\pm i\sqrt{2},\pm\sqrt{5},\pm\frac{i\sqrt{15}}{3}$

c)

$x=\pm i\sqrt{2},\pm\sqrt{5},\pm i\sqrt{3}$

d)

$x=\pm2i,,\pm\sqrt{5},\pm i\sqrt{5}$

Dis UNIT 3 TEST Polynomial Functions

Total questions: 15

Worksheet time: 1hrs 2mins

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