FACTORING POLYNOMIALS

Factoring a = 1

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 a > 1

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+24n-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: 2x²-7x-15

(2x+3)(x-5)

Products and Sums

100

Find two values who have a sum of 7 and product of 10.

2 and 5 

200

Find two values that have a sum = 4 and product = -32

-4 and 8 

300

The product of two number is -36, their sum is zero. What are the two numbers?

-6 and 6 

400

x²-10x-24 = (x + a)(x - b) 

Find the value of a and b 

a = 2

b = 10 

500

Find two values whose sum is 17 and product is -60.

-3 and 20.

Factor using GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x²-6x+30

6(3x²-x+5)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 3x² + 7x - 8 

Prime: GCF = 1

1(3x²+7x-8)

500

The factored form of polynomial is 3c(1 - 8c). What is the original polynomial? 

3c-24c²

Miscellaneous Factoring

100

Factor: x² = x + 12

(x-4)(x+3)

200

Factor: 2x² + 8x 

2x(x+4)

300

x² - 7 x - 12 = 6

(x-9)(x+2)

400

x² + 10x = 15 + 8x 

(x-3)(x+5)

500

Factor: 18b² - 19b - 8 = 3b² - 5b 

(3b-4)(5b+2)