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2x + 6 = 2(x + 3) so 2x + 6 = 0 implies x = -3
Now, substitute x = -3 in 8x3 + 20x2 + 36
which is -8*27 + 20*9 + 36
= -216 + 180 + 36 = 0
So -3 is a root of 8x3 + 20x2 + 36
ie, by the remainder theorem, (x + 3) is a factor.
Also, each of the coeffivcients in the expression is even, so 2 is also a factor.
So 2*(x + 3) or (2x + 6) is a factor.
Wiki User
∙ 14y ago
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