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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.
a2 + 4 + 5a6
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide 4y2 + 3y +\[\frac{1}{2}\] by 2y + 1.
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 |
| 14x2 + 13x − 15 | 7x − 4 |
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
8x3y ÷ 4x2 = 2xy
7ab3 ÷ 14ab = 2b2
