Factor x^2+8x-48

Problem

x2+8*x−48

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=8 and c=−48

2. Find two numbers that multiply to the constant term c=−48 and add to the linear coefficient b=8

3. Determine the factors of −48 by testing pairs: 12 and −4 satisfy the conditions because 12⋅(−4)=−48 and 12 + (-4) = 8$.

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

Final Answer

x2+8*x−48=(x+12)*(x−4)

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