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प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
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उत्तर
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 x^4 + x^2 + 6x + 3) or (3 + 6x + x^2 + 5 x^4 ) \]
\[\text{The degree of the polynomial is 4 .} \]
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संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide 24a3b3 by −8ab.
Divide 5x3 − 15x2 + 25x by 5x.
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 − 28y3 + 3y2 + 30y − 9 | 2y2 − 6 |
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Divide:
x2 − 5x + 6 by x − 3
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
