Factor x^2+2x-15

Problem

x2+2*x−15

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=2 and c=−15

2. Find two numbers that multiply to c (which is −15 and add to b (which is 2.

3. Determine the pair of numbers by testing factors of −15 the numbers 5 and −3 satisfy both conditions because 5⋅(−3)=−15 and 5 + (-3) = 2$.

4. Write the factored form using these numbers as (x+p)*(x+q)

Final Answer

x2+2*x−15=(x+5)*(x−3)

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