Advertisements
Advertisements
प्रश्न
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Advertisements
उत्तर
\[\frac{\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a}{3a}\]
\[ = \frac{\sqrt{3} a^4}{3a} + \frac{2\sqrt{3} a^3}{3a} + \frac{3 a^2}{3a} - \frac{6a}{3a}\]
\[ = \frac{1}{\sqrt{3}} a^{(4 - 1)} + \frac{2}{\sqrt{3}} a^{(3 - 1)} + a^{(2 - 1)} - 2\]
\[ = \frac{1}{\sqrt{3}} a^3 + \frac{2}{\sqrt{3}} a^2 + a - 2\]
संबंधित प्रश्न
Divide 24a3b3 by −8ab.
Divide 5z3 − 6z2 + 7z by 2z.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
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.
x + 1, 2x2 + 5x + 4
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
