Question

find the reminder when p(y) = y3+y2+2y+3 is divided by (y+2)

Answer 1

Answer:

Step-by-step explanation:

Remainder Theorem:

According to the Remainder Theorem Definition, p is the remainder of the final result when a polynomial, $P(a)$, is divided by a binomial, $(a - x)$.

Given:

The expression is $p(y) =y^{3} +y^{2} +2y+3$ is divided by $(y+2)$.

Find:

To find the remainder when  $p(y) =y^{3} +y^{2} +2y+3$ is divided by $(y+2)$.

Step by step solution:

According to reminder theorem

$y+2=0$

$\begin{aligned}&y=-2,(y)=(-2)^{3}+(-2)^{2}+2(-2)+3 \\&=-8+4-4+3 \\&p(x)=-12+7 \\&=-5\end{aligned}$

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