shasanh421
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. 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 :

Ujjwal11

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 ♥♥

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.