Advertisements
Advertisements
प्रश्न
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Advertisements
उत्तर
\[\frac{ac x^2 + (bc + ad)x + bd}{(ax + b)}\]
\[ = \frac{ac x^2 + bcx + adx + bd}{(ax + b)}\]
\[ = \frac{cx(ax + b) + d(ax + b)}{(ax + b)}\]
\[ = \frac{(ax + b)(cx + d)}{(ax + b)}\]
\[ = cx + d\]
संबंधित प्रश्न
Write the degree of each of the following polynomials.
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide x4 + x2 + 1 by x2 + x + 1.
Divide 9x4 − 4x2 + 4 by 3x2 − 4x + 2 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 |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Divide:
ax2 − ay2 by ax + ay
Divide: 15a3b4 − 10a4b3 − 25a3b6 by −5a3b2
