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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
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उत्तर
\[( x^3 - 1)( x^3 - 4) = x^6 - 5 x^3 + 4\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( x^6 - 5 x^3 + 4) or (4 - 5 x^3 + x^6 )\]
\[\text{The degree of the polynomial is 6 .} \]
संबंधित प्रश्न
Simplify:\[\frac{16 m^3 y^2}{4 m^2 y}\]
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 4y2 + 3y +\[\frac{1}{2}\] by 2y + 1.
Divide x4 + x2 + 1 by x2 + x + 1.
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide:
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
8x3y ÷ 4x2 = 2xy
