Factor x^2+4x-32

Problem

x2+4*x−32

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=4 and c=−32

2. Find two numbers that multiply to c (−32 and add to b (4.

3. Determine the factors by testing pairs of numbers that multiply to −32 8 and −4 satisfy both conditions because 8×(−4)=−32 and 8 + (-4) = 4$.

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

Final Answer

x2+4*x−32=(x+8)*(x−4)

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