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प्रश्न
Divide 9x4 − 4x2 + 4 by 3x2 − 4x + 2 and find the quotient and remainder.
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उत्तर
\[\text{Quotient =} 10 x^2 - 3x - 12\]
\[{Remainder =}\ 0\]
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संबंधित प्रश्न
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 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 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
