Factor x^2+7x+10

Problem

x2+7*x+10

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=7 and c=10

2. Find two numbers that multiply to equal c (10 and add to equal b (7.

3. Determine the factors by testing pairs of numbers that multiply to 10 1×10 (sum is 11 and 2×5 (sum is 7.

4. Rewrite the expression using the identified numbers, 2 and 5 in the binomial form (x+p)*(x+q)

Final Answer

x2+7*x+10=(x+2)*(x+5)

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