Advertisements
Advertisements
प्रश्न
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
बेरीज
Advertisements
उत्तर
Remainder is zero; therefore, z2 + 3 is a factor of
\[z^5 - 9z\]
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Which of the following expressions are not polynomials?
3x−2 + 2x−1 + 4x +5
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide x4 + x2 + 1 by x2 + x + 1.
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 |
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide:
x4 − y4 by x2 − y2
Divide:
\[\frac{1}{4} x^2 - \frac{1}{2}x - 12 by \frac{1}{2}x - 4\]
Divide: 15a3b4 − 10a4b3 − 25a3b6 by −5a3b2
Divide: (32y2 – 8yz) by 2y
