Factoring trinomials a =1
Factoring trinomials a >1
FIND THE GCF
FACTOR BY GCF
Diff/Perfect Square
100

Factor into two binomials: x2+10x+24

(x+6)(x+4)

100

Factor: 2x2+9x+4

(2x+1)(x+4)

100

Find the GCF: 3x2 + 12x

3x

100

Factor by GCF: 14n2+10n

2n(7n+5)

100

Factor: x2+6x +9

(x+3)2

200

Factor into two binomials: x2-14x+48

(x-6)(x-8)

200

Factor: 4x2 + 32x + 64

4 (x + 4) (x + 4)

200

Find the GCF: 28x2+ 32x

4x

200

Factor by GCF: 18x3-6x

6x(3x2-1)

200

Factor: x2-28x+196

(x-14)2

300

Factor into two binomials: x2+7x-18

(x+9)(x-2)

300

Factor: 6x2 - 11x + 4

(3x - 4)(x - 1)

300

Find the GCF: 2x5 + 9x4

x4

300

Factor by GCF: 8-4a2

4(2-a2)

300

Factor: 4x2-25

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

400

Factor into two binomials: x2-3x-54

(x+6)(x-9)

400

Factor: 5t2 + 12t - 9

(t + 3)(5t - 3)

400

Find the GCF: 18x+32x2+6x

2x

400

Factor by GCF: 4x4+16x3-8x2

4x2(x2+4x-2)

400

Factor: 9x2-12x+4

(3x-2)2

500

Jace needs to factor x2 − 14x + 48. Which of the following must be true?

a. Both middle pieces of the diamond should include subtraction.

b. The sum of the middle pieces of the diamond should be 14.

c. The product of the middle pieces of the diamond should be -14.

d. There is a GCF of 2.

A

500

Factor: 10x2 + 24x +8

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

500

Find the GCF: 12m4n3, 6m3n2, 24m2n4

6m2n2

500

Factor by GCF: 10a3b4-6a2b6

2a2b4(5a-3b2)

500

Which of the following is not a perfect square trinomial:

A. x2-14x+49

B. 9x2+30x+25

C. 4x2-8x+25

D. 18x2+12x+2

C

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