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: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

Identify the GCF & Factor by Grouping

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 18x³, 32x²,6x

2x

400

Factor by grouping: 2a²+10a-3ab-15b

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

500

Factor by grouping: 6n³+21n²+14n+49

(2n+7)(3n²+7)

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: 4x⁴+16x³-8x²

4x²(x²+4x-2)

400

Factor the GCF then factor the trinomial completely: 2x⁶-4x⁵-48x⁴

2x⁴(x+4)(x-6)

500

Factor the GCF then factor the trinomial completely: 6x³-15x²-36x

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

Polynomial Operations

100

(4x²-6x+3)+(-2x²-7x-12)

2x²-13x-9

200

(5x²+2x-5) - (7x²-4x+11)

-2x²+6x-16

300

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

20x²+x-12

400

(x+3)(2x²-4x+5)

2x³+2x²-7x+16

500

(2x+3)²-3x+1

4x²+9x+10