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Division of a Polynomial by a Polynomial

2y5 + 10y4 + ...

Question

$2 y^{5} + 10 y^{4} + 6 y^{3} + y^{2} + 5 y + 3 b y 2 y^{3} + 1$

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Solution

$2 y^{5} + 10 y^{4} + 6 y^{3} + y^{2} + 5 y + 3 b y 2 y^{3} + 1$

$∴ Q u o t i e n t = y^{2} + 5 y + 3$

Remainder = 0

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Q. Mark the correct alternative in the following question:

x^{2} \times 2 y^{3} \times 5 x^{3} y^{2} is equal to (a) 10 x^{2} y^{5} (b) 10 x^{5} y^{2} (c) 10 x^{5} y^{5} (d) x^{5} y^{5}

Q. 2y³ + y² − 2y − 1

2 y^{3} + y^{2} - 2 y - 1

{2 y}^{3} + y^{2} - 2 y - 1

2 y^{3} + y^{2} - 2 y - 1

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