Factor y^2-10y+21

Problem

y2−10*y+21

Solution

1. Identify the coefficients of the quadratic expression in the form a*y2+b*y+c where a=1 b=−10 and c=21

2. Find two numbers that multiply to c (21 and add to b (−10.

3. Determine the factors by testing pairs of numbers that multiply to 21 (−3)×(−7)=21 and (−3)+(−7)=−10

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

Final Answer

y2−10*y+21=(y−3)*(y−7)

Want more problems? Check here!