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PtichkaEL [24]
3 years ago
15

Factor completely x3 + 3x2 − 6x − 18.

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

You can factor this by using the grouping method.

(x^3+3x^2)-(6x+18)

x^2(x+3)-6(x+3)

Since both groups have the (x+3), that is one of the factors of the polynomial. What is remaining (the x^2 and -6), is the other factor.

Here are the factors:

(x^2-6)(x+3)

Neither can be simplified further, so this is your answer. Hope this helps!

Gnom [1K]3 years ago
5 0

x^3+3x^2-6x-18=x^2(x+3)-6(x+3)=(x+3)(x^2-6)\\\\=(x+3)(x^2-(\sqrt6)^2)=(x+3)(x-\sqrt6)(x+\sqrt6)\\\\Used:\\\\a^2-b^2=(a-b)(a+b)

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