Factoring trinomials
Factoring Trinomials- harder
Find the GCF
Factor by GCF
Factoring by Grouping
100
Factor into two binomials: x2+8x+12
(x+6)(x+2)
100
Factor into two binomials: 2x2+7x+3
(2x+1)(x+3)
100

Find the GCF: 3x2, 12x

3x

100
Factor by GCF: 14n2+10n
2n(7n+5)
100

12a3 − 9a2 + 4a − 3

(3a2 + 1)(4a − 3)

200
Factor into two binomials: m2-11m+18
(m-9)(m-2)
200
Factor into two binomials: 5n2+26n+5
(5n+1)(n+5)
200
Find the GCF: 4x3, 10x2
2x2
200
Factor by GCF: 18x3-6x
6x(3x2-1)
200

2p3 + 5p2 + 6p + 15

( p2 + 3)(2p + 5)

300
Factor into two binomials: x2+5x-24
(x+8)(x-3)
300
Factor into two binomials: 3x2-10x+7
(3x-7)(x-1)
300
Find the GCF: 2x5, 9x4
x4
300
Factor by GCF: 8-4a2
4(2-a2)
300

5n3 − 10n2 + 3n − 6

(5n2 + 3)(n − 2)

400
Factor into two binomials: y2-6y-7
(y-7)(y+1)
400
Factor into two binomials: 7x2-36x+5
(7x-1)(x-5)
400
Find the GCF: 18x3, 32x2+6x
2x
400
Factor by GCF: 4x4+16x3-8x2
4x2(x2+4x-2)
400

35xy − 5x − 56y + 8

(5x − 8)(7y − 1)

500
Factor into two binomials: x2-x-56
(x-8)(x+7)
500
Factor into two binomials: 2x2-12x+10
(2x-2)(x-5)
500
Find the GCF: 12m4n3, 6m3n2, 24m2n4
6m2n2
500
Factor by GCF: 10a3b4-6a2b6
2a2b4(5a3-3b2)
500

mz − 5mh2 − 5nz + 25nh2

(m − 5n)(z − 5h2)

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