Question

What is the value of k, if x-2 is a factor of p(x)=2xsquare

+kx-4 ?​

Answer 1

Answer:

value of k in the given eq. is -2.

Step-by-step explanation:

here, p(x)=2x²+kx-4

since, (x-2) is a factor of p(x).

so, by factor theorem

p(2)=0

2(2)²+k(2)-4=0

2(4)+2k-4=0

8+2k-4=0

4+2k=0

2k= -4

k= -4/2

k= -2