Question

Find the value of k if x-2 is a factor of 2x^2+kx+4

Answer 1

Answer:

2×2^2+2k+4=0

8+2k+4=0

12+2k=0

2k=-12

k=-12/2=-6

Answer 2

SOLUTION

Given,

x-2 is a factor

So,

x-2= 0

=)x= 2

Putting the value of x above in the quadratic equation

$= > 2(2) {}^{2} + k(2) + 4 = 0 \\ = > 2 \times 4 + k2 + 4 = 0 \\ = > 8 + k2 + 4 = 0 \\ = > 12 + 2k = 0 \\ = > 2k = - 12 \\ = > k = - \frac{12}{2} \\ \\ = > k = - 6$

hope it helps ☺️