Answer:
3(x+2) (x+2)
Explanation:
Given 3x²+12x+12
We expand the equation
That is,
3x²+6x+6x+12
We add parentheses to factor out
(3x²+6x)+(6x+12)
3x(x+2)+6(x+2) > Taking out the
common factors.
(3x+6) (x+2)
= 3(x+2) (x+2)
x = -2 (multiplicity 2).
3x^2+12x+12 = 0
3(x^2 + 4x + 4) = 0
3(x + 2)(x + 2) = 0
2 roots - both equal.
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