Work out the following divisions- 5y3 - 4y2 - 3y - y

5y^3 4y^2+3yy =5y^3y 4y^2y+3yy =5y^2 4y+3 ...

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Division of a Polynomial by a Monomial

Work out the ...

Question

Work out the following divisions:
$5 y^{3} - 4 y^{2} + 3 y \div y$

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Solution

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Add: $5 + y - 3 y^{2} + 2 y^{3}, - 8 + 3 y + 7 y^{3}$ and $3 - 8 y - 4 y^{3} + 2 y^{2}$

Adding $3 + 2 y - 5 y^{2} + 6 y^{3}, - 8 + 3 y + 7 y^{3}$ and $5 - 6 y - 8 y^{3} + y^{2}$ , we get

(5 x^{3} - 4 x^{2} + 3 x) \div (2 x)

4 x^{2} y - 28 x y + 4 x y^{2} \div (4 x y)

10 y (6 y + 21) \div 5 (2 y + 7)

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