Monomials and Polynomials

Classifying & Simplifying

100

Classify 2x⁵ - 7x³ by degree and type of polynomial

5th degree binomial

200

Classify x² + 2x - 3 by degree and type of polynomial

2nd degree trinomial

300

Classify 7x²y⁵ by degree and type of polynomial

7th degree monomial

400

Simplify 5ab² + 4ab²

9ab²

500

Simplify 3x²y - 5x²y

-2x²y

Add/Subtract Polynomials

100

(7 - 5x⁵) + (6x⁵ + 9)

x⁵ + 16

200

(9x⁴ + 3x² + 4) + (2 + x² - 6x⁴)

3x⁴ + 4x² + 6

300

(3x² - 4x + 1) - (x² + 2x + 1)

2x² - 6x

400

(2x + 3x⁴) - (5x + 9x² - 6x⁴)

9x⁴ - 9x² -3x

500

(5 - 2c² - 4c⁴) + (9c + 8c⁴ - 6)

4c⁴ - 2c² + 9c -1

Multiply w/ a Monomial

100

3(4 - x)

12 - 3x

200

5x(6 - 7x)

30x - 35x²

300

5x²(3x⁵ - 2x)

15x⁷ - 10x³

400

4y⁵(3y² - 3y + 9)

12y⁷ - 12y⁶ + 36y⁵

500

-8y⁴(5y² - 3y + 4)

-40y⁶ +24y⁵ - 32y⁴

Factoring with GCF

100

Find the GCF of 3x³ + 9x

3x

200

Find the GCF of 18x² - 42x + 12

6

300

Factor out the GCF: 18x² - 42x

6x(3x - 7)

400

Factor out the GCF: 12x⁴ - 9x² + 6x

3x(4x³ - 3x + 2)

500

Factor out the GCF: 14z⁴ - 42z³ + 21z²

7z²(2z² - 6z + 3)

Multiply Larger

100

(x + 2)(x + 1)

x² + 3x + 2

200

(x + 4)(x - 5)

x² - x - 20

300

(2x - 3)(x + 2)

2x² + x - 6

400

(4x + 2)(3x - 1)

12x² + 2x - 2

500

(2x + 1)(x² - 5x + 2)

2x³ - 9x² - x + 2