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प्रश्न
Which of the following expressions are not polynomials?
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उत्तर
\[{ax}^\frac{1}{2} + ax + 9 x^2 + 4\ \text{is not a polynomial because}\ \frac{1}{2}\ \text{is the power of variable x is not a non negative integer .} \]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 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 |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
7ab3 ÷ 14ab = 2b2
The denominator of a fraction exceeds Its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get `3/2`. Find the original fraction.
