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प्रश्न
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
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उत्तर
\[\text{Quotient} = 3 x^2 + 4x + 1 \]
\[\text{Remainder} = 0\]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 and find the quotient and remainder.
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
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Find whether the first polynomial is a factor of the second.
2a − 3, 10a2 − 9a − 5
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
