Free Printable Chapter 5 Retake

1.

State the end behavior. $f\left(x\right)=-x^5+3x^3-2x+1$

a)

falls left; rises right

b)

rises left; rises right

c)

rises left; falls right

d)

falls left; falls right

2.

What is the definition of multiplicity?

a)

All the factors of p/q

b)

How many times a zeros is a root.

c)

The total number, including real and imaginary, solutions a polynomial function has

d)

The sum and/or difference of two cubes

3.

Factor $20x^3-35x^2+12x-21$

a)

$\left(5x^2+3\right)\left(4x-7\right)$

b)

$\left(5x^2-7\right)\left(4x+3\right)$

c)

$\left(5x^2+7\right)\left(4x+3\right)$

d)

$\left(5x^2+3\right)\left(4x+7\right)$

4.

Factor & find all roots. $x^3+64=0$

a)

b)

c)

d)

5.

Factor & find all roots. $x^4+4x^2-45=0$

a)

b)

c)

d)

6.

State all the possible rational zeros. $f\left(x\right)\ =\ 2x^2-3x-2$

a)

b)

c)

d)

7.

State all the possible rational roots. Then factor and find all the zeros. $f\left(x\right)=2x^4+x^2-3$

a)

b)

c)

d)

8.

Find the coefficient described.

a)

6

b)

1

c)

-4

d)

4

9.

Find the 2nd term in the expansion of $\left(1-3m\right)^4$

a)

-12m

b)

-3m

c)

-15m

d)

$-108m^3$

10.

Expand completely $\left(2v-1\right)^4$

a)

$96v^4-120v^3+80v^2-30v+6$

b)

$16v^4-32v^3+24v^2-8v+1$

c)

$80v^4-80v^3+40v^2-10v+1$

d)

$16v^4-8v^3+4v^2-2v+1$

Chapter 5 Retake

Total questions: 10

Worksheet time: 24mins

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