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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
उत्तर
\[(a + \frac{3}{4})(a + \frac{4}{3}) = a^2 + \frac{25}{12}a + 1\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( a^2 + \frac{25}{12}a + 1) or (1 + \frac{25}{12}a + a^2 )\]
\[\text{The degree of the polynomial is 2 .}\]
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संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
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Divide x4 + x2 + 1 by x2 + x + 1.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
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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:
x2 − 5x + 6 by x − 3
7ab3 ÷ 14ab = 2b2
