Advertisements
Advertisements
Question
Divide:
Advertisements
Solution
\[\frac{\frac{1}{4} x^2 - \frac{1}{2}x - 12}{\frac{1}{2}x - 4}\]
\[ = \frac{\frac{1}{2}x(\frac{1}{2}x - 4) + 3(\frac{1}{2}x - 4)}{\frac{1}{2}x - 4}\]
\[ = \frac{(\frac{1}{2}x - 4)(\frac{1}{2}x + 3)}{(\frac{1}{2}x - 4)}\]
\[ = \frac{1}{2}x+3\]
APPEARS IN
RELATED QUESTIONS
Write the degree of each of the following polynomials.
2x + x2 − 8
Write the degree of each of the following polynomials.
Divide 15m2n3 by 5m2n2.
Divide 24a3b3 by −8ab.
Divide −21abc2 by 7abc.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide x4 + x2 + 1 by x2 + x + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Divide: (32y2 – 8yz) by 2y
