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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
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[(5 x^4 + x^2 + 6x + 3) or (3 + 6x + x^2 + 5 x^4 ) \]
\[\text{The degree of the polynomial is 4 .} \]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Divide 15m2n3 by 5m2n2.
Divide −4a3 + 4a2 + a by 2a.
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Divide 14x2 − 53x + 45 by 7x − 9.
Divide m3 − 14m2 + 37m − 26 by m2 − 12m +13.
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 |
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide: (32y2 – 8yz) by 2y
