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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
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उत्तर
\[(a + \frac{3}{4})(a + \frac{4}{3}) = a^2 + \frac{25}{12}a + 1\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( a^2 + \frac{25}{12}a + 1) or (1 + \frac{25}{12}a + a^2 )\]
\[\text{The degree of the polynomial is 2 .}\]
संबंधित प्रश्न
Write the degree of each of the following polynomials.
2x2 + 5x2 − 7
Which of the following expressions are not polynomials?
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
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 |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Divide:
x2 − 5x + 6 by x − 3
Divide:
x4 − y4 by x2 − y2
Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2
