Question

Find the value of k, if x-2 is a factor of p(x) = 2x^2 + kx + 4.​

Answer 1

x=2

p(2)=2(2)^2+k(2)+4=0

2(4) +2k+4=0

8+2k+4=0

12+2k=0

2k= -12

k= -12/2

k= -6

Answer 2

Answer:

p(x) = 2x^2 + kx +4

g(x) = x-2

x = 2

p(2) = (2×2)^2 + k×2 + 4 =0

4^2 +2k +4 =0

16 + 2k + 4 =0

2k = 20

k = 20/2

k = 10