Factor x^2+8x-20

Problem

x2+8*x−20

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=8 and c=−20

2. Find two numbers that multiply to the constant term c=−20 and add to the linear coefficient b=8

3. Determine the pair of numbers by testing factors of −20 the numbers 10 and −2 satisfy both conditions since 10⋅(−2)=−20 and 10 + (-2) = 8$.

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

Final Answer

x2+8*x−20=(x+10)*(x−2)

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