Question

find the remainder when x³+x+1 divided by x+2​

Answer 1

Answer:

x+2=0

x=-2

put the value of x in given expression

2^3+2+1

8+2+1

11

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Answer 2

Step-by-step explanation:

$Using \: \: Remainder \: \: Theorem \\ \\ x + 2 = 0 \\ x = \underline{ \underline{ - 2}} \\ \\ p(x) = {x}^{3} + x + 1 \\ p( - 2) = {( - 2)}^{3} + ( - 2) + 1 \\ = - 8 + ( - 2) + 1 \\ = - 8 - 2 + 1 \\ = \underline { \underline{- 9}}$