FACTORING POLYNOMIALS

Factoring trinomials

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: 2x²-2x-112

2(x-8)(x+7)

Factoring Trinomials- harder

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: 9x²-30x+25

(3x-5)²

500

Factor into two binomials: 2x²-12x+10

2(x-1)(x-5)

Multiplying Polynomials

100

Multiply 3x(2x)

6x²

200

4x³ (10x²)

40x⁵

300

Multiply: 3xy(2x²-3y²)

6x⁴y-9y³x

400

Multiply (2x+3y)²

4x²12xy+9y²

500

Muliply: (3x²+x-4)(-2x-5)

-6x³-17x²+x+20

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+12x²

4x²(x+3)(x+1)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Adding/Subtracting Polynomials

100

(3x²-5x+3)+(7x²+8)

10x²-5x+11

200

(3x⁴+4y²)-(3x⁴+4y²)

0

300

2(x²-6x-5)+(3x²+12)

5x²-12x+2

400

-(5x²-3y+7x)-3(x²+y-6z)

-8x²-7x+18z

500

-5x²(3x-5y+4)-3y(2x²+2xy)+(7x³+5x²-3xy)

-8x³+19x²y-15x²-3xy