Factor x^2+8x+7

Problem

x2+8*x+7

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=8 and c=7

2. Find two numbers that multiply to c (7 and add up to b (8.

3. Determine the factors by testing pairs of integers that multiply to 7 The only integer pair is 1 and 7

4. Verify that 1 + 7 = 8$, which matches the middle coefficient.

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

Final Answer

x2+8*x+7=(x+7)*(x+1)

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