Factor 12x^3+2x^2-30x-5

Problem

12*x3+2*x2−30*x−5

Solution

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

(12*x3+2*x2)+(−30*x−5)

2. Factor out the greatest common factor from the first pair, which is 2*x2

2*x2*(6*x+1)+(−30*x−5)

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

2*x2*(6*x+1)−5*(6*x+1)

4. Factor out the common binomial (6*x+1) from the expression.

(6*x+1)*(2*x2−5)

Final Answer

12*x3+2*x2−30*x−5=(6*x+1)*(2*x2−5)

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