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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
Which of the following expressions are not polynomials?
x2 + 2x−2
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
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 |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Divide: 8x − 10y + 6c by 2
8x3y ÷ 4x2 = 2xy
