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.
2x2 + 5x2 − 7
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
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 |
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
