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प्रश्न
Which of the following expressions are not polynomials?
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उत्तर
\[3 x^{- 2} + 2 x^{- 1} + 4x + 5\ \text{is not a polynomial because - 2 and - 1 are the powers of variable x are not non negative integers .}\]
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संबंधित प्रश्न
Which of the following expressions are not polynomials?
x2 + 2x−2
Divide −4a3 + 4a2 + a by 2a.
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
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 |
What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
