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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.
(3y8 − 4y6 + 5y4) ÷ y4
Write the degree of each of the following polynomials.
5x2 − 3x + 2
Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
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 |
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 |
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.
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
