FACTORING POLYNOMIALS

Factoring Trinomials:x^2+bx+c

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely:     m²-11m+18

(m-9)(m-2)

300

Factor completely: x²+5x-24

(x+8)(x-3)

400

Factor completely:       y²-6y-7

(y-7)(y+1)

500

Factor completely:     x²-x-56

(x-8)(x+7)

Factoring Trinomials: ax^2+bx+c

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+26n+5

(5n+1)(n+5)

300

Factor completely:    3x²-10x+7

(3x-7)(x-1)

400

Factor completely:    7x²-36x+5

(7x-1)(x-5)

500

Factor completely:    2x²-9x+7

(x-1)(2x-7)

Factoring by Grouping

100

Factor completely:     2x²+xy-12x-6y

(2x+y)(x-6)

200

Factor completely: 4x³+7x²-28x-49

(x²-7)(4x+7)

300

Factor completely:      x³-7x²-6x+42

(x²-6)(x-7)

400

Factor completely: x³+4x²+9x+36

(x+4)(x²+9)

500

Factor completely:     4x³-5x²+100x-125

(x²+25)(4x-5)

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 20m²+5m-15

5(4m-3)(m+1)

400

Factor completely: mx²-18mx+81m

m(x-9)²

500

Factor completely:   26y-6y²-8

2(y-4)(-3y+1)

Add/Subtract/Multiply Polynomials

100

Simplify: (4p²+2p-7)+(3p²-8p+10)

7p²-6p+3

200

Simplify:    (2x²+5x-3)-(8x+2x²-4)

-3x+1

300

Simplify:    (3p-1)(4p+2)

12p²+2p-2

400

Simplify: (4m+1)(-12m+7)

-48m²+16m+7

500

Simplify: (-2k⁴-3k³+7k²-9k)-(3k⁴-3k³+10k²+1)

-5k⁴-3k²-9k-1