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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 the degree of each of the following polynomials.
Divide 15m2n3 by 5m2n2.
Divide 5x3 − 15x2 + 25x by 5x.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
