Exponent Rules and Polynomials

Factoring Review

100

Factor completely:

5x^2 + 35x

5x(x+7)

200

Factor completely:

x^2 + 7x - 30

(x+10)(x-3)

300

Factor completely:

4x^2 - 81

(2x+9)(2x-9)

400

Factor completely:

25x^2 - 30x + 9

(5x-3)^2

500

Factor completely:

9x^2 + 15x + 6

3(3x+2)(x+1)

Classifying Polynomials

100

Determine the degree of the following polynomial:

-3x^2+5x-1

Degree: 2

(Quadratic)

200

Is the following polynomial a monomial, binomial, or trinomial?

2xy-3x^2y

Binomial

300

Classify the polynomial by its degree and the number of terms:

-4x^4+3x^2-x

Quartic Trinomial

400

Classify the polynomial by its degree and the number of terms:

3x^2-x

Quadratic Binomial

500

Classify the polynomial by its degree and the number of terms:

-2xy^2+4xy-3y^2+1

Cubic Polynomial

Adding & Subtracting Polynomials

100

Add the following polynomials. Write your final answer in standard form.

(4x^2+4)+(19x^2-7)

23x^2-3

200

Add the following polynomials. Write your final answer in standard form.

(13x^2-2x+1)+(9x^2-7)

22x^2-2x-6

300

Add the following polynomials. Write your final answer in standard form.

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

400

Subtract the following polynomials. Write your final answer in standard form.

(3x+2)-(11x-6)

-8x+8

500

Subtract the following polynomials. Write your final answer in standard form.

(x^2-x+4)-(x^2+x-2)

-2x+6

Multiplying & Dividing Polynomials

100

Multiply the polynomials. Write your final answer in standard form.

-3x(2x^2+4)

-6x^3-12x

200

Multiply. Write your final answer in standard form. 

(4x-1)²

16x² -8x+1

300

Multiply the polynomials. Write your final answer in standard form.

(2x-5)(3x^2-x+6)

6x^3-17x^2+17x-30

400

Divide using synthetic division. Write your final answer in standard form.

(x^3-2x^2-4)/(x-3)

x^2+x+3+5/(x-3)

500

Use LONG DIVISION to divide the polynomials. Write your final answer in standard form.

(4x^3+18x^2+10x+3)/(2x+1)

2x^2+8x+1+2/(2x+1)