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प्रश्न
Which of the following expressions are not polynomials?
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उत्तर
\[\sqrt{ax} + x^2 - x^3 \text{is not a polynomial because} \frac{1}{2} \text{is the power of variable x is not a non negative integer .} \]
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide 15m2n3 by 5m2n2.
Divide 5x3 − 15x2 + 25x by 5x.
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x2 + 7x + 12 by x + 4.
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 |
Divide:
x4 − y4 by x2 − y2
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide 27y3 by 3y
