Algebra 2 Chapter 5 Review

Algebra 2 Chapter 5 Review

Polynomials​

Standard Form & Classifying Polynomials​

Multiple Choice

Write in standard form. Then classify the polynomial.

$$4x^2+3x^3-2x^2+7-5x$$  

• $$3x^3+4x^2-2x^2-5x+7$$  cubic polynomial with 5 terms

• $$3x^3+2x^2-5x+7$$  cubic polynomial with 4 terms

• $$2x^2-5x+7$$  

  quadratic trinomial

• $$3x^3-5x+7$$  

  cubic trinomial

Multiple Choice

Write in standard form. Then classify the polynomial.

$$-2x^2+17-5x^2$$  

• $$-2x^2+17-5x^2$$  quadratic trinomial

• $$17-7x^2$$  

  constant binomial

• $$-7x^2+17$$  

  quadratic binomial

• $$-5x^2-2x^2+17$$  

  cubic trinomial

End

Behavior

​

Multiple Choice

What is the end behavior of $$y=4x^3-7x^2+3x+2$$  

• up, up

• up, down

• down, down

• down, up

Multiple Choice

What is the end behavior of $$y=-6x^4-7x^2+3x+2$$  

• up, up

• up, down

• down, down

• down, up

Given zeros, write a polynomial in standard form.

Multiple Choice

Given the following zeros, write an equation in standard form.

zeros: -5, -4, 3

• (x+5)(x+4)(x-3)

• $$x^3+6x^2-7x-60$$  

• $$x^3-6x^2-47x+60$$  

• $$x^3-60$$  

Solving w/multiplicity

Multiple Choice

Find the zeros of the function. State multiplicity.

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

• 0, -2/3, 3/4

• -2/3, 4/3

• 0 multiplicity of 2; -2/3;

  3/4 multiplicity of 5

• 0 multiplicity of 2; -3/2;

  4/3 multiplicity of 5

Factoring to Solve

Fill in the Blanks

Solve by factoring. Write answers in order from least to greatest. (Use commas to separate numbers, no spaces.)

$3x^3-21x^2+30x=0$  

Multiple Select

Solve by factoring. Check all that apply

$$x^3-3x^2+18x=54$$  

• 0

• 3

• $$\pm3i\sqrt[]{2}$$  

• $$3i$$  

• $$\pm3\sqrt[]{2}$$  

Multiple Select

Solve by factoring. Check all that apply

$$x^4-5x^2-36=0$$  

• 0

• 3

• $$-3$$  

• $$2i$$  

• $$-2i$$  

Multiple Select

Solve by factoring. Check all that apply

$$27x^3-64=0$$  

• 4/3

• 3/4

• $$-\frac{2}{3}+\frac{2i\sqrt[]{3}}{3}$$  

• $$-\frac{2}{3}-\frac{2i\sqrt[]{3}}{3}$$  

• $$-\frac{2}{3}i$$