Factoring trinomials a =1
Factor into two binomials: x2 + 8x + 12
product of 12, sum of 8 -> 6, 2
(x+6)(x+2)
Factor : 2c2 - 14c - 36
2 (c - 9)(c + 2)
Always factor out a common factor first (2).
9k2 + 66k + 21
3(k2 + 22k + 7) = 3(k + 7)(3k + 1)
Find the GCF: 3x2, 12x
3x
Factor by GCF: 14n2+10n
2n(7n+5)
Identify the terms and coefficients: 5x + 8
terms: 5x and 8 coefficients: 5 and 8
Factor into two binomials: m2 - 11m + 18
(m-9)(m-2) (-2)(-9) = 18 (-2) + (-9) = -11
Factor: 4x2 + 32x + 64
4 (x + 4) (x + 4)
5n2 + 19n + 12
(n + 3)(5n + 4)
Find the GCF: 4x3, 10x2
2x2
Factor by GCF: 18x3-6x
6x(3x2-1)
A polynomial with exactly 2 terms and a polynomial with exactly 3 terms.
binomial and trinomial
Factor into two binomials:
x2 + 5x - 24
(x+8)(x-3) 8*-3 = -24 8 + (-3) = 5
Factor: 6x2 - 11x + 4
(3x - 4)(2x - 1)
4*6 = 24 -8 * -3 = 24 and adds to -11
Box method:
3x -4
2x 6x2 -8x
-1 -3x +4
15n2 − 27n − 6
3(5n2 − 9n − 2) = 3(5n + 1)(n - 2)
Find the GCF: 2x5, 9x4
x4
Factor by GCF: 8-4a2
4(2-a2)
Simplify: (10t2 - 3t + 9) - (6t2 - 7t)
4t2 + 4t + 9
Factor into two binomials: y2 - 6y - 7
(y-7)(y+1) (-7)(1) = -7 (-7) + 1 = -6
Factor: 5t2 + 12t - 9
(t + 3)(5t - 3)
−6a2 − 25a − 25
-1(6a2 + 25a + 25) = -1(2a + 5)(3a + 5)
Find the GCF: 18x3, 32x2+6x
2x
Factor by GCF: 4x4+16x3-8x2
4x2(x2+4x-2)
Simplify: (-a2 + 2a - 8) + (2a2 - 9a + 15)
a2 - 7a + 7
Factor into two binomials: x2 - 13x - 30
(x+2)(x-15) (-3)(-10) = 30 (-3) = (-10) = -13
Factor: 10x2 + 24x +8
2(5x2 + 12x + 4) product of 20, adds to 12 2, 10
2 (x + 5) (5x + 2)
16b2 + 60b − 100
4(4b2 + 15b − 25) = 4(4b - 5)(b + 5)
Find the GCF: 12m4n3, 6m3n2, 24m2n4
6m2n2
Factor by GCF: 10a3b4-6a2b6
2a2b4(5a3-3b2)
Determine the product of (4x + 4)(5x - 5).
20x2 - 20