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

Byju's Answer

Other

Quantitative Aptitude

Divisibility Rule for 7 & 13

If x4 + 2...

Question

If $x^{4} + 2 x^{3} - 3 x^{2} + x - 1$ is divided by $x - 2$ . then the remainder is

12

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

14

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

16

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

21

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

Open in App

Solution

The correct option is D $21$
Putting the value of $x = 2$ in the expression to find the remainder.
$x^{4}$ + $2 x^{3}$ - $3 x^{2} + x - 1$
$2^{4} + 2 \times 2^{3} - 3 \times 2^{2} + 21$
= $16 + 1612 + 21 = 3413 = 21$

Suggest Corrections

Similar questions

When $p (x) = x^{4} + 2 x^{3} - 3 x^{2} + x - 1$ is divided by (x-2), the remainder is
(a) 0
(b) -1
(c) -15
(d) 21

Q. If

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

is a polynomial such that when it is divided by

(x - 1)

and

(x + 1)

, then the remainders are

5

and

19

respectively. If

f (x)

is divided by

(x - 2)

, then the remainder is:

Q. If f(x) = x⁴ − 2x³ + 3x² − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b

Q. If

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

is a polynomial such that when it is divided by

x - 1

and

x + 1

, the remainder are respectively

5

and

19

. Determine the remainder when

f (x)

is divided by

(x - 2)

The polynomial x⁴- 2x³+ 3x²- ax + b when divided by x +1 and x -1 give remainder 19 and 5 respectively . Find the remainder when the polynomial is divided by x -3

Join BYJU'S Learning Program

If x4+2x3−3x2+x−1 is divided by x−2. then the remainder is

The correct option is D 21 Putting the value of x=2 in the expression to find the remainder.x4 + 2x3 - 3x2+x−124+2×23−3×22+21= 16+1612+21=3413=21

If $x^{4} + 2 x^{3} - 3 x^{2} + x - 1$ is divided by $x - 2$ . then the remainder is

The correct option is D $21$
Putting the value of $x = 2$ in the expression to find the remainder.
$x^{4}$ + $2 x^{3}$ - $3 x^{2} + x - 1$
$2^{4} + 2 \times 2^{3} - 3 \times 2^{2} + 21$
= $16 + 1612 + 21 = 3413 = 21$