Advertisements
Advertisements
प्रश्न
Divide 5z3 − 6z2 + 7z by 2z.
उत्तर
\[\frac{5 z^3 - 6 z^2 + 7z}{2z}\]
\[ = \frac{5 z^3}{2z} - \frac{6 z^2}{2z} + \frac{7z}{2z}\]
\[ = \frac{5}{2} z^{(3 - 1)} - 3 z^{(2 - 1)} + \frac{7}{2}\]
\[ = \frac{5}{2} z^2 - 3z + \frac{7}{2}\]
APPEARS IN
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide the given polynomial by the given monomial.
(p3q6 − p6q3) ÷ p3q3
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
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:
5y3 − 6y2 + 6y − 1, 5y − 1
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
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.