The answer should be 3(x - 2)(x + 1).
GCF is 3
Factor out 3.
3(x^2 - x - 2)
Numbers that add up to -1 and -2 are -2 and 1.
3(x - 2)(x + 1)
I hope this helps! :)
factor the polynomial 3x^2+3x-6
2 answers
3x^2 + 3x - 6 = 0
A*C = 3*(-6) = -18 = -3*6
Choose the pair of factors whose sum = B = +3: -3, and 6.
3x^2 + (-3x+6x) - 6 = 0
Form two factorable binomials:
(3x^2-3x) + (6x-6) = 0
3x(x-1) + 6(x-1) = 0
(x-1)(3x+6) = 0
(x-1)*3(x+2) = 0
x-1 = 0
X = 1
3(x+2) = 0
Divide by 3:
x+2 = 0
X = -2
Solution set: X = -2, and 1.
9
A*C = 3*(-6) = -18 = -3*6
Choose the pair of factors whose sum = B = +3: -3, and 6.
3x^2 + (-3x+6x) - 6 = 0
Form two factorable binomials:
(3x^2-3x) + (6x-6) = 0
3x(x-1) + 6(x-1) = 0
(x-1)(3x+6) = 0
(x-1)*3(x+2) = 0
x-1 = 0
X = 1
3(x+2) = 0
Divide by 3:
x+2 = 0
X = -2
Solution set: X = -2, and 1.
9