Divide $10 x^{4} + 17 x^{3} - 62 x^{2} + 30 x - 3$ by $2 x^{2} + 7 x + 1$ and find quotient and remainder.

Open in App

Solution

Given,
f(x) = $10 x^{4} + 17 x^{3} - 62 x^{2} + 30 x - 3$
g(x) = $2 x^{2} + 7 x + 1$
So, by dividing we get,

Therefore, quotient q(x) is $5 x^{2} - 9 x - 2$ and remainder r(x) is 53x-1.

Suggest Corrections

Similar questions

Write the quotient and remainder when we divide.

$x^{4} - 2 x^{2} + 2 x^{2} + x + 4$ by $x^{2} + x + 1$

(10 x^{4} + 17 x^{3} - 62 x^{2} + 30 x - 3)

(2 x^{2} + 7 x - 1)

10 x^{4} + 17 x^{3} - 62 x^{2} + 30 x - 3

2 x^{2} + 7 x - 1

$2 x^{2} + 7 x - 1$ completely divides $10 x^{4} + 17 x^{3} - 62 x^{2} + 30 x - 3$ .

Join BYJU'S Learning Program