Factor Trinomials
Factor into two binomials: x2+8x+12
(x+6)(x+2)
Factor:
r2 - 64
(r + 8)(r - 8)
Factor by Grouping:
6d4 + 4d3 - 6d2 - 4d
(6d2 + 4d)(d2 - 1)
Factor by GCF: 14n2+10n
2n(7n+5)
Solve for x: 3x-7=11
x=6
Factor into two binomials: m2-11m+18
(m-9)(m-2)
Factor:
g2 - 225
Factor by Grouping:
11b3 - 6b2 + 11b - 6
(11b - 6)(b2 + 1)
Factor by GCF: 18x3-6x
6x(3x2-1)
2x+8=5x-7
x=5
Factor into two binomials: 3x2-10x+7
(3x-7)(x-1)
Factor:
25m2 + 80m + 64
(5m + 8)2
Factor by Grouping:
45z3 + 20z2 + 9z + 4
(9z + 4)(5z2 + 1)
Factor by GCF: 8-4a2
4(2-a2)
Solve the system of equations by using substitution: 3y+2x=32; x=7
y=6
Factor into two binomials: 7x2-36x+5
(7x-1)(x-5)
Factor:
36h2 - 12h + 1
(6h - 1)2
Factor by Grouping:
9a3 - 12a2 + 18a - 24
(a2 + 2)(9a - 12)
Factor by GCF: 4x4+16x3-8x2
4x2(x2+4x-2)
What is the slope and y-intercept of the following line? y=5x-2
Slope=5 Y-Intercept=-2
Factor into two binomials: 2x2-12x+10
(2x-2)(x-5)
Factor Completely:
32v2 - 8
8(2v + 1)(2v - 1)
Factor by Grouping:
6h4 + 9h3 + 12h2 + 18h
3h (2h + 3) (h2 + 2)
Factor by GCF: 10a3b4-6a2b6
2a2b4(5a3-3b2)
Solve the system of equations by using elimination: 2x + y = 9; 3x – y = 16
x=5, y=-1