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: 3x²-10x+7 

(3x-7)(x-1)

300

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

400

Factor into two binomials: 2x²-12x+10

2(x-1)(x-5)

500

12x²+20x-48

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

Difference of Squares

100

x²-9

(x-3)(x+3)

200

16x²-1

(4x+1)(4x-1)

300

9x²-25

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

400

8x²-50

2(2x+5)(2x-5)

500

12x²-27

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

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

18x²-27

9(2x²-3)

300

Factor by GCF: 18x³-6x

6x(3x²-1)

400

16x²-12x+10

2(8x²-6x+5)

500

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

Multiply/Divide Polynomials

100

What is the product of:

(2x+6)(3x-2)

6x²+14x-12

200

Find the product of:

(6x-4)²

36x²-48x+16

300

What is 8x²+10x-3 / 4x-1 ?

a) 2x-3

b) 2x+3

c) 4x-1

d) 4x+3

b) 2x+3

400

What is the quotient of:

6x²-x-7 and x+1 ?

a) x-7

b) 6x+7

c) x+7

d) 6x-7

d) 6x-7

500

What is the quotient of:

24x²+22x-30 and 3x+5 ?

a) 8x+6

b) 8x-12

c) 8x-6

d) 9x-3

c) 8x-6