Question

Divide the following polynomial and then place the answer in the proper location on the grid. Write your answer in order of descending powers of y. (y^3 - y^2 + y + 3) ÷ (y + 1)

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Answer 1

given,

`\frac{ {y}^(3) - {y}^(2) + y + 3}{y + 1} \\ = \frac{ {y}^(3) + {y}^(2) - 2 {y}^(2) - 2y + 3y + 3}{x + 1} \\ = \frac{{y}^(2) (y + 1) - 2y(y + 1) + 3(y + 1)}{(y + 1)} \\ = \frac{(y + 1)( {y}^(2) - 2y + 3) }{(y + 1)} \\ = {y}^(2) - 2y + 3`