FACTORING POLYNOMIALS

Factoring trinomials

100

Factor : x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Factor: x²+5x-24

(x+8)(x-3)

400

Factor : y²-6y-7

(y-7)(y+1)

500

Factor: x²-x-56

(x-8)(x+7)

Factoring Special Cases

100

Factor: x² - 121

(x+11)(x-11)

200

Factor: n²- 36

(n+6)(n-6)

300

Factor into two binomials: 9x²- 16

(3x+4)(3x-4)

400

Factor into two binomials: 50x³ -8x

2x(5x + 2) (5x - 2)

500

Factor into two binomials: 128x³- 242x⁵

2x³(8+11x)(8-11x)

GCF's

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 18x³, 32x²+6x

2x

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

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)

Factors...

100

The two methods used for factoring when a=1 ( or x²)

What are The Rule of Products and Sums AND The Box Method

200

The opposite of factoring a polynomial..

What is... Multiplying a polynomial

300

The product of 7 and 8

What is 56

400

The product of 42 that is also the sum of 13

What are 6 and 7

500

The first step in factoring any polynomial

What is...look for a GCF