Factor x^2+4x-60

Problem

x2+4*x−60

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=4 and c=−60

2. Find two numbers that multiply to c (which is −60 and add to b (which is 4.

3. List factors of −60 to find the pair: 10 and −6

4. Verify the pair: 10×(−6)=−60 and 10 + (-6) = 4$.

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

Final Answer

x2+4*x−60=(x+10)*(x−6)

Want more problems? Check here!