Factor x^2+16x+63

Problem

x2+16*x+63

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=16 and c=63

2. Find two numbers that multiply to c (63 and add up to b (16.

3. Determine the factors by testing pairs of factors of 63 1×63 3×21 and 7×9

4. Select the pair 7 and 9 because 7 + 9 = 16a*n*d \times 9 = 63$.

5. Write the factored form using the pattern (x+p)*(x+q) where p and q are the numbers found.

Final Answer

x2+16*x+63=(x+7)*(x+9)

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