Math, asked by reshuverma, 1 day ago

x+2 is a factor of
 {3x}^{3}  + {2kx}^{2}  - 4x - 8
if K is
a) 1
b) 2
c) 3
d) 4
answer is 3
explain it who the answer become 3​

Answers

Answered by adibhambreyt
0

Answer:

Explanation:

Let

f

(

x

)

=

x

3

+

k

x

2

+

x

+

5

When

f

(

x

)

is divided by

(

x

+

2

)

, the remainder is

=

3

This is the remainder theorem

so,

f

(

2

)

=

8

+

4

k

2

+

5

=

3

4

k

=

3

+

5

=

8

k

=

2

Step-by-step explanation:

answer is 2

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