Factor x^2+5x-14

Problem

x2+5*x−14

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=5 and c=−14

2. Find two numbers that multiply to c (which is −14 and add to b (which is 5.

3. Determine the factors of −14 that satisfy the condition: the numbers 7 and −2 work because 7×(−2)=−14 and 7 + (-2) = 5$.

4. Write the expression in factored form (x+p)*(x+q) using the numbers found in the previous step.

Final Answer

x2+5*x−14=(x+7)*(x−2)

Want more problems? Check here!