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प्रश्न
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
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उत्तर
\[\text{Quotient} = 2x - 5\]
\[\text{Remainder} = 0\]
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 − 28y3 + 3y2 + 30y − 9 | 2y2 − 6 |
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
