How do you use the remainder theorem to find the remainder for the division $(y^3+y^2-10)div(y+3)$ ?

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Answer 1 · 2017-05-06T16:45:30

$-28.$

As per the Remainder Theorem, when a poly. $P(y)$ is divided by

$(y-alpha),$ the remainder is $P(alpha).$

Therefore, in our case, with, $P(y)=y^3+y^2-10,$ we have,

$"The Remainder="P(-3),$

$=(-3)^3+(-3)^2-10,$

$=-27+9-10,$

$=-28.$

How do you use the remainder theorem to find the remainder for the division (y^3+y^2-10)div(y+3)(y^3+y^2-10)div(y+3)?