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प्रश्न
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 and find the quotient and remainder
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उत्तर

\[\text{Quotient} = 7 x^2 + x + 5\]
\[\text{Remainder} = 4\]
संबंधित प्रश्न
Write the degree of each of the following polynomials.
2x + x2 − 8
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
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 |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Divide: 8x − 10y + 6c by 2
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
