Question

The value of k, when the following polynomial has factor x+4 is 2 x² + 3x + k ​

Answer 1

Answer:

Step-by-step explanation:

Consider the given polynomial.

x  

4

−k  

2

x  

2

+3x−6k

Since, x+k is the factor of given polynomial  

So, put x=−k

Therefore,

(−k)  

4

−k  

2

(−k)  

2

+3(−k)−6k=0

k  

4

−k  

4

−3k−6k=0

−9k=0

k=0

Hence, the value of k is 0.

Answer 2

Answer:

Consider the given polynomial.

x

4

−k

2

x

2

+3x−6k

Since, x+k is the factor of given polynomial

So, put x=−k

Therefore,

(−k)

4

−k

2

(−k)

2

+3(−k)−6k=0

k

4

−k

4

−3k−6k=0

−9k=0

k=0

Hence, the value of k is 0.