Factor x^3+2x^2-5x-10

Problem

x^3+2*x^2−5*x−10

Solution

1. Group the terms into two pairs to prepare for factoring by grouping.

(x^3+2*x^2)+(−5*x−10)

2. Factor out the greatest common factor from the first pair, which is x^2

x^2*(x+2)+(−5*x−10)

3. Factor out the greatest common factor from the second pair, which is −5

x^2*(x+2)−5*(x+2)

4. Factor out the common binomial (x+2) from the expression.

(x+2)*(x^2−5)

Final Answer

x^3+2*x^2−5*x−10=(x+2)*(x^2−5)

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