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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
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उत्तर
\[( y^3 - 2)( y^3 + 11) = y^6 + 9 y^3 - 22\]
\[\text{Standard form of thegiven polynomial can be expressed as:} \]
\[( y^6 + 9 y^3 - 22) or ( - 22 + 9 y^3 + y^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
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(x3 − 1)(x3 − 4)
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Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
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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 |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Using division of polynomials, state whether
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What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
