Factor x^2-6x-7

Problem

x2−6*x−7

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−6 and c=−7

2. Find two numbers that multiply to c (which is −7 and add to b (which is −6.

3. Determine the factors by testing pairs of numbers that multiply to −7 The pair 1 and −7 satisfies the condition because 1×−7=−7 and 1 + (-7) = -6$.

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

Final Answer

x2−6*x−7=(x−7)*(x+1)

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