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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
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
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
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide x4 + x2 + 1 by x2 + x + 1.
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
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Divide: 81(p4q2r3 + 2p3q3r2 – 5p2q2r2) by (3pqr)2
The denominator of a fraction exceeds Its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get `3/2`. Find the original fraction.
