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प्रश्न
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 and find the quotient and remainder.
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उत्तर
\[\text{Quotient =} 10 x^2 - 3x - 12\]
\[\text{Remainder =} 0\]
संबंधित प्रश्न
Which of the following expressions are not polynomials?
x2 + 2x−2
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide −21 + 71x − 31x2 − 24x3 by 3 − 8x.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Find whether the first polynomial is a factor of the second.
2a − 3, 10a2 − 9a − 5
Divide:
8x3y ÷ 4x2 = 2xy
