Question

find the value of k if x+k is the factor of the polynomial x^3-(k^2-1)x+3​

Answer 1

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.

Answer 2

Answer:

k=o

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.