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प्रश्न
Divide:
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उत्तर
\[\frac{\frac{1}{4} x^2 - \frac{1}{2}x - 12}{\frac{1}{2}x - 4}\]
\[ = \frac{\frac{1}{2}x(\frac{1}{2}x - 4) + 3(\frac{1}{2}x - 4)}{\frac{1}{2}x - 4}\]
\[ = \frac{(\frac{1}{2}x - 4)(\frac{1}{2}x + 3)}{(\frac{1}{2}x - 4)}\]
\[ = \frac{1}{2}x+3\]
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Divide 15m2n3 by 5m2n2.
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Divide x4 + x2 + 1 by x2 + x + 1.
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
