Question

Find the value of k, if x-2 is a factor of p(x) = 2x2 + k x + 4.
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Answer 1

Step-by-step explanation:

step1

put divisor=0

x-2=0

x=2

step 2

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

putting x=2

2(2)^2+k(2)+4

8+2k+4

12+2k

thus remainderp(2)=12+2k

sincex-2 is a factor of 2x^2+kx+4

12+2k=0

2k=-12

k=-6

hopes it helps you