Factor 3x^2+9x-30

Problem

3*x2+9*x−30

Solution

1. Factor out the greatest common factor (GCF) from all three terms, which is 3

3*(x2+3*x−10)

2. Identify two numbers that multiply to the constant term −10 and add to the coefficient of the linear term 3

5×−2=−10

5+(−2)=3

3. Rewrite the quadratic inside the parentheses as a product of two binomials using the identified numbers.

3*(x+5)*(x−2)

Final Answer

3*x2+9*x−30=3*(x+5)*(x−2)

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