Factor x^2+2x-80

Problem

x2+2*x−80

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=2 and c=−80

2. Find two numbers that multiply to c (which is −80 and add to b (which is 2.

3. Test pairs of factors of −80

10×−8=−80

10+(−8)=2

4. Rewrite the expression as a product of two binomials (x+p)*(x+q) using the numbers found.

Final Answer

x2+2*x−80=(x+10)*(x−8)

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