Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Difficult Remainder Theorem Question!!! Please help!?
Given that y = 3x^3 + 7x^2 - 48x + 49 and that y has the same remainder when it is divided by x+k or x-k, find the possible values of k.
Please help me with this solution, step by step. Thank you :)
1 Answer
- Old TeacherLv 78 years agoFavorite Answer
The remainder when you divide by (x-k) is f(k). This means that f(k)= f(-k)
So 3k^3 + 7k^2 -48k + 49= 3(-k)^3 + 7(-k)^2 -48(-k) + 49
3k^3 + 7k^2 -48k + 49= -3k^3 + 7k^2 + 48k + 49
6k^3 -96k = 0
6k(k^2 -16)= 0
K= 0 , 4, or -4
I hope this helps!
