FACTORING POLYNOMIALS

Classify, add, and subtract Polynomials

100

Classify the polynomial by the type and degree. Example: Cubic Trinomial

4x²

Quadratic Monomial

200

Classify the polynomial by the type and degree. Example: Cubic Trinomial

4x+3

Linear Binomial

300

Classify the polynomial by the type and degree. Example: Cubic Trinomial

4x² - 5 + 3x⁴

Quartic Trinomial

400

Add the Polynomials: (4x⁵ + 3x² – 8) + (3x⁵ – 8x²)

 7x⁵ – 5x²- 8

500

Subtract the Polynomials: (3x⁵ + 4x - 2) - (x⁵ - 5x - 1)

2x⁵ + 9x - 1

Multiply Polynomials

100

Multiply the polynomials: 2x³(x - 2)

2x⁴ - 4x³

200

Multiply the polynomials: (x + 1)(x - 2)

x² - x - 2

300

Multiply the polynomials: (2x - 5)²

4x² - 20x + 25

400

Multiply the polynomials: (x² + 2x + 1)(x - 2)

x³ - 3x - 2

500

Multiply the polynomials: (x⁴ + 2x² + 3)(x² - 1)

x⁶ + x⁴ + x² - 3

Find and Factor GCF

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)