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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
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 a^6 + a^2 + 4) or (4 + a^2 + 5 a^6 ) \]
\[\text{The degree of the polynomial is 6 .} \]
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संबंधित प्रश्न
Divide 72xyz2 by −9xz.
Divide 5z3 − 6z2 + 7z by 2z.
Divide x4 + x2 + 1 by x2 + x + 1.
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 |
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
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Find whether the first polynomial is a factor of the second.
2a − 3, 10a2 − 9a − 5
Divide: 8x − 10y + 6c by 2
