Advertisements
Advertisements
Question
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
Advertisements
Solution

\[\text{Quotient} = 2x - 5\]
\[\text{Remainder} = 0\]
RELATED QUESTIONS
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide 72xyz2 by −9xz.
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide 5x3 − 15x2 + 25x by 5x.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
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
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.
