Question

Find the remainder when x*3+3x*2+3x+1 is divided by x+2

Answer 1

-1

Step-by-step explanation:

$p(x) = {x}^{3} + 3 {x}^{2} + 3x + 1 \\ g(x) = x + 2 \\ x + 2 = 0 \\ = x = - 2 \\ putting \: values \: we \: get \\ p( - 2) = {( - 2)}^{3} + 3 {( - 2)}^{2} + 3( - 2) + 1 \\ = - 8 + 12 - 6 + 1 \\ = - 14 + 13 \\ = - 1$

Therefore the remainder is - 1.

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