Question

what is the value of k if x+2 is a factor of kx²-3x+2k​

Answer 1

Step-by-step explanation:

If x+2 is a factor of the above equation then x= -2

By factor theorem

p(x) = kx²-3x+2k

p(-2) = k(-2)² - 3 (-2) + 2k

= k(4)+6+2k

= 4k + 6 + 2k

= 6k + 6

=> 6k + 6 = 0

=>6k = 0-6

=>6k = -6

$= > k = \frac{ - 6}{ \: \: \: 6}$

Therefore, k = -1