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 Trinomials- harder

100

Factor: 2x²+7x+3

(2x+1)(x+3)

200

Factor: 5n²+26n+5

(5n+1)(n+5)

300

Factor: 3x²-10x+7

(3x-7)(x-1)

400

Factor: 7x²-36x+5

(7x-1)(x-5)

500

Factor: 2x²-12x+10

2(x-1)(x-5)

Factoring by Difference of 2 Squares

100

Factor: 4x²-9

(2x+3)(2x-3)

200

Factor: 81x⁴-1

(9x²+1)(3x+1)(3x-1)

300

Factor: a²-9x²

(a+3x)(a-3x)

400

Factor: x⁸-25y²

(x⁴-5y)(x⁴+5y)

500

Factor: 9(x-2)²-4

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

Factor by GCF

100

Factor : 14n²+10n

2n(7n+5)

200

Factor: 18x³-6x

6x(3x²-1)

300

Factor: 7xy⁴+12x²y²

xy²(7y²+12x)

400

Factor: 25x³y - 5x²+30xy

5x(5x²y-5x + 6y)

500

Factor : (x+4)(x+5)+(x-1)(x+5)

(x+5)[(x+4)+ (x-1)]

Factor Perfect Square trinomial

100

Factor: x²+6x+9

(x+3)²

200

Factor: x²-16x+64

(x-8)²

300

Factor: 3x²-30x+75

3(x-5)²

400

Factor : 3x³+52x²+147

3x(x+7)²

500

Factor : 49x²-14x+1

(7x-1)²