Factor x^2+8x+15

Problem

x2+8*x+15

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=8 and c=15

2. Find two numbers that multiply to c (15 and add to b (8.

3. Determine the factors by testing pairs of numbers that multiply to 15 1⋅15 (sum is 16 and 3⋅5 (sum is 8.

4. Write the expression in factored form (x+p)*(x+q) using the numbers 3 and 5

Final Answer

x2+8*x+15=(x+3)*(x+5)

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