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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
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Write the degree of each of the following polynomials.
Divide 3x3y2 + 2x2y + 15xy by 3xy.
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 |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
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.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Divide:
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
