GCF
What is the GCF of 5x2 and 10x?
5x
Rewrite the expression by factoring out (x+1).
3(x+1) + 2x(x+1)
(3+2x)(x+1)
Factor. (Use the difference to two squares formula)
x2-25
Solve for x.
(x-9)(x+4) = 0
x=9, -4
What is the GCF of 10y, 20y2 and 30y3?
10y
Factor.
30x3-20x2
10x2(3x-2)
Factor. (Use the "difference of two squares" formula)
x2-16
(x+4)(x-4)
Solve for y.
(4y-1)(y+8) = 0
y= 1/4, -8
What is the GCF of 5xy, 10x2y5, 15y4
5y
Factor. (Hint: use the "m and n" method)
x2-x-12
(x+3)(x-4)
Factor.
50x2-30x4
10x2(5-3x2)
Solve for x.
x2-5x+6 = 0
x=2, 3
Factor. (Hint: use the "m and n" method)
x2-11x+18
(x-9)(x-2)
Factor.
x2+x-6
(x+3)(x-2)
Solve for x.
x2+5x-14 = 0
x= -7, 2
Factor by grouping.
2x3+4x+5x2+10
(2x+5)(x2+2)