Factor 4x^2+20x+16

Problem

4*x2+20*x+16

Solution

1. Identify the greatest common factor (GCF) for all three terms, which is 4

2. Factor out the GCF from the expression.

4*(x2+5*x+4)

3. Find two numbers that multiply to the constant term 4 and add to the linear coefficient 5

4. Determine that the numbers are 4 and 1 since 4⋅1=4 and 4 + 1 = 5$.

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

4*(x+4)*(x+1)

Final Answer

4*x2+20*x+16=4*(x+4)*(x+1)

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