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

Factor Theorem

If x + 2 is...

Question

If $x + 2$ is factor of $(x + 1)^{5} + (2 x + K)^{3}$ , then the value of $^{'} K^{'}$ is

1

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

3

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

4

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 $5$
If $x + 2$ is a factor of $f (x) = (x + 1)^{5} + (2 x + K)^{3}$ , then
$f (- 2) = 0$
or $(- 2 + 1)^{5} + [2 \times (- 2) + K]^{3} = 0$
or $- 1 + (K - 4)^{3} = 0$
or $[(K - 4)] = 1$
or $K = 5$

Suggest Corrections

Similar questions

{{(x + 1)}^{5} + (2 x + k)^{3}}

(x^{2} + 1)

2 x^{4} - 5 x^{2} + k

k

f (x) = (x + 1)^{7} + (2 x + k)^{3}

\frac{\frac{x}{3} - \frac{2}{5}}{\frac{3}{4} - 2 x} = \frac{16}{15}

x

x - 1

x^{5} - 4 x^{3} + 2 x^{2} - 3 x + k = 0

k

Join BYJU'S Learning Program