shasanh421
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our 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 hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.