You visited us 1 times! Enjoying our articles? Unlock Full Access!

Long Division method to divide two polynomials

Given P = Pro...

Question

Given P = Product of $x^{2}$ y and $\frac{x}{y}$ and Q = Quotient obtained when $x^{2}$ is divided by D. If P = Q, what is the value of D?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{1}{x}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$\frac{1}{x}$

$p = x^{2} y \times \frac{x}{y} = x^{3} Q = x^{3} (G i v e n) x^{3} = \frac{x^{2}}{D} \Rightarrow D = \frac{x^{2}}{x^{3}} = \frac{1}{x}$

Suggest Corrections

Similar questions

x^{2} y

\frac{x}{y}

x^{3}

x^{2}

The quotient obtained when $p q^{2} + 5 p q + 6 p$ is divided by $p q + 2 p$ is _______.

p q^{2} + 5 p q + 6 p

p q + 2 p

f (x) = 5 x^{3} + p x + q

p

q

f (x)

x^{2} + x + 1

0

p - q

(x^{3} - 2 x + p x - q)

(x^{2} - 2 x - 3)

(x - 6)

p, q

Join BYJU'S Learning Program