Factor x^2+12x+32

Problem

x2+12*x+32

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=12 and c=32

2. Find two numbers that multiply to c (32 and add up to b (12.

3. Determine the factors by testing pairs of numbers that multiply to 32 1×32 2×16 and 4×8

4. Select the pair 4 and 8 because 4 + 8 = 12$.

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

Final Answer

x2+12*x+32=(x+4)*(x+8)

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