Factor x^2+10x-24

Problem

x2+10*x−24

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=10 and c=−24

2. Find two numbers that multiply to c (which is −24 and add to b (which is 10.

3. Test pairs of factors of −24

12⋅−2=−24

12+(−2)=10

4. Rewrite the expression using these factors in the binomial form (x+p)*(x+q)

Final Answer

x2+10*x−24=(x+12)*(x−2)

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