Factor y^2-8y+15

Problem

y2−8*y+15

Solution

1. Identify the coefficients of the quadratic expression in the form a*y2+b*y+c where a=1 b=−8 and c=15

2. Find two numbers that multiply to the product a*c=15 and add up to b=−8

3. Determine the pair of numbers, which are −3 and −5 since (−3)×(−5)=15 and (−3)+(−5)=−8

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

Final Answer

y2−8*y+15=(y−3)*(y−5)

Want more problems? Check here!