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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
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उत्तर
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 a^6 + a^2 + 4) or (4 + a^2 + 5 a^6 ) \]
\[\text{The degree of the polynomial is 6 .} \]
संबंधित प्रश्न
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
Divide −72a4b5c8 by −9a2b2c3.
Divide −4a3 + 4a2 + a by 2a.
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
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 |
Using division of polynomials, state whether
4x − 1 is a factor of 4x2 − 13x − 12
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
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.
