Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
2y^2 + 8 / 2y + 4
Determine the quotient and the remainder.
Solution:
2y^2 + 8 , have a common factor of 2y, therefore we can factor 2y out of the equation in order to simplify the given.
= 2y^2 + 8
= 2(y^2 +4)
2y + 4 have a common factor of 2, therefore we can factor out 2 to simplify the answer
= 2(y + 2)
Rewrite the simplified values in an equation.
=2y(y +4) /2(y +2)
2 can be cancelled out, therefore we will have the final answer,
= y (y +4)/(y+2)