Factor x^2+7x+6

Problem

x2+7*x+6

Solution

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

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

3. Determine the factors by testing pairs of numbers that multiply to 6 1×6=6 and 1 + 6 = 7$.

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

Final Answer

x2+7*x+6=(x+6)*(x+1)

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