using synthetic or long term  21x^4+32x^3+2x^2-x+7/7x-1

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llltkl | College Teacher | (Level 3) Valedictorian

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By long division method:

`7x-1 |21x^4+32x^3+2x^2-x+7| 3x^3`

            `21x^4-3x^3`

(-)-----------------------------------------------

                   ` 35x^3+2x^2-x+7| 5x^2`

                    `35x^3-5x^2`

(-)----------------------------------------------

                                 `7x^2-x+7| x`

                                 `7x^2-x`

(-)----------------------------------------------------

                                         ` 7`

The division yields, `(3x^3+5x^2+x)` as the quotient and `7` as the remainder.

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