If P ( y ) is a polynomial in y , then P ( r ) = 0 if and only if __________ is a factor of P ( y ).

Name: If P ( y ) is a polynomial in y , then P ( r ) = 0 if and only if __________ is a factor of P ( y ).
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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