Factor 3x^2+15x+18

Problem

3*x2+15*x+18

Solution

1. Identify the greatest common factor (GCF) for all three terms in the expression.

2. Factor out the GCF, which is 3 from the entire expression.

3*(x2+5*x+6)

3. Find two numbers that multiply to the constant term 6 and add up to the coefficient of the linear term 5

4. Determine that the two numbers are 2 and 3 since 2⋅3=6 and 2 + 3 = 5$.

5. Rewrite the quadratic expression inside the parentheses as a product of two binomials using these numbers.

3*(x+2)*(x+3)

Final Answer

3*x2+15*x+18=3*(x+2)*(x+3)

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