If the polynomial $3 x^{4} - 4 x^{3} - 3 x - 1$ is divided by $x - 1$ , then the reminder is :

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

- 5

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

Open in App

Solution

The correct option is D $- 5$
For finding the remainder, we need to use remainder theorem.
Let $p (x) = 3 x^{4} - 4 x^{3} - 3 x - 1$
Hence, to find the remainder on dividing by $x - 1$ , we need to equate it to 0 and put that value of x in $p (x)$ .
$x - 1 = 0$
$x = 1$
$p (1) = r e m a i n d e r$
$= 3 {(1)}^{4} - 4 {(1)}^{3} - 3 (1) - 1$
$= - 5$

Suggest Corrections

Similar questions

3 x^{4} - 4 x^{3} - 3 x - 1

x - 1

3 x^{4} - 4 x^{3} - 3 x - 1

x - 1

Divide the polynomial $3 x^{4} - 4 x^{3} - 3 x - 1$ by x-1 and then find the remainder.

x^{4} + x^{2} + 1

(x - 2)

Find the quotient when $3 x^{4} - 4 x^{3} - 3 x - 1$ divided by x – 1

Join BYJU'S Learning Program