Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Determine the value of k that will make (x−2) a factor of (x^4 + 3x^3 -8x^2 +kx +16)

Sagot :

Let, p (x) = x^4 + 3x^3 - 8x^2 + kx + 16

When, x = 2 then,

Using remainder theorem,

p(x) = x^4 + 3x^3 - 8x^2 + kx + 16

p(2) = 2^4 + 3*2^3 - 8*2^2 +k*2 + 16

0 = 16 + 3*8 - 8*4 + 2k + 16

0 = 16 + 24 - 32 + 2k + 16

0 = 24 + 2k

2k = -24

k = -12

It is right answer...

I hope you understand...

Thank you