Advertisements
Advertisements
प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
Advertisements
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
Which of the following expressions are not polynomials?
Which of the following expressions are not polynomials?
Divide 6x3y2z2 by 3x2yz.
Divide −21 + 71x − 31x2 − 24x3 by 3 − 8x.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
Find whether the first polynomial is a factor of the second.
2a − 3, 10a2 − 9a − 5
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
Divide: (32y2 – 8yz) by 2y
