Question

if x-2 is a zero of x^3-4x^2 + kx find x

Answer 1

Your Question needs a correction,

Correct question ; find the value of k



Solution,

Given that (x - 2) is the factor, by factor theorem,


x - 2 = 0
x = 2


Then,

x³ - 4x² + kx = 0

2³ - 4(2)² + k(2) = 0

8 - 4(4) + 2k = 0

8 - 16 + 2k = 0

-8 + 2k = 0

2k = 8

$k = \frac{8}{2}$
k = 4





I hope this will help you


(-:

Answer 2

Hey friend, ☺️ here is your answer ____________________________

If x - 2 is a zero then it can makes the whole polynomial equals to zero.
So,
x - 2 = 0
x = 2

Putting this in the equation

$0 = {x}^{3} - 4 {x}^{2} + kx \\ 0 = {2}^{3} - 4 \times {2}^{2} + k \times 2 \\ 0 = 8 - 16 + 2k \\ 0= - 8 + 2k \\ 8 = 2k \\ k = 4$


Hope this helps you..