Question

Find the value of k, if x+k is the factor of polynomial : x^4-k^2x^2+3x-6k

Answer 1

Hey dear!

Here is yr answer.....

x+k = 0

x = -k

x^4-k^2x^2+3x-6k = 0

(-k)^4-k^2(-k)^2+3(-k) -6(-k) = 0

k^4-k^4-3k+6k = 0

3k = 0

k = 0/3

k = 0

Hope it hlpz....

Answer 2

Heya !!!


Given that ( X +K ) is a factor of the given polynomial.


(X +K) = 0


X = -k




P(X) = X⁴ - K²X² +3X - 6K



P(-K ) = (-K)⁴ - K² (-K)² + 3 × - K -6K = 0



=> K⁴ -K⁴ - 3K -6K = 0



=> -9K = 0




=> K = 0/-9



=> K = 0




HOPE IT WILL HELP YOU...... :-)