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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
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x2 + 7x + 12 by x + 4.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 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 |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
