FACTORING POLYNOMIALS

Factoring trinomials 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 Trinomials a>1

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: 6x²-7x-20

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

500

Factor Completely: 2x²-12x+10

2(x-1)(x-5)

Difference of Squares

100

Factor Completely: 9x² - 1

(3x+1) (3x-1)

200

Factor Completely: 4n² - 49

(2n + 7)(2n -7)

300

Factor Completely: 20a² - 45

5 (2n + 9) (2n -9)

400

Factor Completely : 3n² - 75

3 (n + 5) (n-5)

500

Factor Completely: 49x² - 25y²

(7x + 5y) (7x-5y)

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)

Factoring Extras

100

Solve for x: 18x³-3x²+24x-4

(3x²+4)(6x-1)

200

2xy-8y+3x-12

(2y+3)(x+4)

300

If the area of a rectangle is a²+10a-24 what are the dimensions?

(a+10)(a-2)

400

Aaron is factoring the polynomial 4a²-9. He got the answer (2a-3)(2a-3). What did Aaron do wrong?

Aaron has his signs wrong for difference of squares. He should have (2a-3)(2a+3). 

500

Johnny and Becky are both factored the polynomial 3x²+9x-12.

Johnny has (3x-3)(x+4)

Becky has 3(x-1)(x+4)

Who is correct and why?

Becky is correct. She factored out the GCF first!