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

Zeroes of a Polynomial

Find the valu...

Question

Find the value of $k$ , if $x^{2} + 2 x = 3 k$ has a remainder $3$ when divided by $x - 4$ .

5

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

6

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

7

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

8

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

Open in App

Solution

The correct option is D $7$
Replace $x$ as $4$ in the expression:
$x^{2} + 2 x = 3 k$
$=$ $4^{2} + 2 (4) = 3 k$
$= 16 + 8 - 3 k$
$= 24 - 3 k$
So, the remainder is $24 - 3 k$ . Now substitute the value of remainder as $3$ .
$24 - 3 k = 3$
$24 - 3 = 3 k$
$21 = 3 k$
$∴ k = 7$

Suggest Corrections

Similar questions

p

3 x^{2} - 2 p = 2 x

4

x + 2

4

x^{3} + 2 x^{2} - x - k

x - 2

k

a x^{4} + b x^{3} - x^{2} + 2 x + 3

4 x + 3

x^{2} + x - 2

a

b

k

2 x^{3} + 3 x^{2} - k x + 5

x - 2

7

Join BYJU'S Learning Program