If P ( y ) is a polynomial in y , then P ( r ) = 0 if and only if __________ is a factor of P ( y ).
A) -r - y
B) y + r
C) y - r
D) r - y

Question

Quizplus · Accepted Answer

If P(r) = 0, then this means that y - r is a factor of P(y) by the Remainder Theorem. This is because when we divide P(y) by y - r, the remainder will be 0, meaning that P(y) is evenly divisible by y - r. Therefore, (C) y - r is the correct answer.

If P ( Y ) Is a Polynomial in Y