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Question
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
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Solution
Quotient = \[5 y^3 - 2 y^2 + \frac{5}{3}y\]
Remainder = 6
Divisor = 3y - 2
Divisor x Quotient + Remainder = (3y - 2) (5y3 - 2y2 +
Divisor x Quotient + Remainder = Dividend
Hence verified.
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