Factor x^2+3x-10

Problem

x2+3*x−10

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=3 and c=−10

2. Find two integers that multiply to equal c (which is −10 and add to equal b (which is 3.

3. Determine the factors by testing pairs of numbers that multiply to −10

5⋅−2=−10

5+(−2)=3

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

Final Answer

x2+3*x−10=(x+5)*(x−2)

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