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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
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उत्तर
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 x^4 + x^2 + 6x + 3) or (3 + 6x + x^2 + 5 x^4 ) \]
\[\text{The degree of the polynomial is 4 .} \]
संबंधित प्रश्न
Write the degree of each of the following polynomials.
2x2 + 5x2 − 7
Write the degree of each of the following polynomials.
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x4 + x2 + 1 by x2 + x + 1.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
