Question

Find The Value Of K, If x+2 is a factor of k²x³-kx²+3kx-k​

Answer 1

Step-by-step explanation:

Consider given the expression ,

k

2

x

3

−kx

2

+3kx−k

Also given that,

x−3or x−3=0⇒x=3 is factor of k

2

x

3

−kx

2

+3kx−k

So,

k

2

3

3

−k.3

2

+3k3−k=0

27k/2

−9k+9k−k=0

27k/2

−k=0

k(27k−1)=0

k=0or27k−1=0

k=0ork=

27/1

Hence, this is the answer.