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प्रश्न
Which of the following expressions are not polynomials?
x2 + 2x−2
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उत्तर
\[ x^2 + 2 x^{- 2} \text{is not a polynomial because - 2 is the power of variable x is not a non negative integer .} \]
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
Divide 6x3y2z2 by 3x2yz.
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 14x2 + 13x − 15 | 7x − 4 |
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Divide: 8x − 10y + 6c by 2
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
