Factor x^2+6x-72

Problem

x2+6*x−72

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=6 and c=−72

2. Find two numbers that multiply to c (−72 and add to b (6.

3. Determine the factors of −72 by testing pairs: 12 and −6 satisfy the conditions because 12×−6=−72 and 12 + (-6) = 6$.

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

Final Answer

x2+6*x−72=(x+12)*(x−6)

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