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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 each of the following polynomials in the standard form. Also, write their degree.
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Write each of the following polynomials in the standard form. Also, write their degree.
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Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 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 |
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
