Factor x^2+6x-16

Problem

x2+6*x−16

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=6 and c=−16

2. Find two numbers that multiply to c (which is −16 and add to b (which is 6.

3. Determine the pair of numbers by testing factors of −16 the numbers 8 and −2 satisfy both conditions because 8⋅(−2)=−16 and 8 + (-2) = 6$.

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

Final Answer

x2+6*x−16=(x+8)*(x−2)

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