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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
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उत्तर
\[( a^3 - \frac{3}{8})( a^3 + \frac{16}{17}) = a^6 + \frac{77}{136} a^3 - \frac{6}{17}\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( a^6 + \frac{77}{136} a^3 - \frac{6}{17}) or ( - \frac{6}{17} + \frac{77}{136} a^3 + a^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
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संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Write the degree of each of the following polynomials.
5x2 − 3x + 2
Divide 24a3b3 by −8ab.
Divide 4y2 + 3y +\[\frac{1}{2}\] by 2y + 1.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 14x2 + 13x − 15 | 7x − 4 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
