View the step-by-step solution to:

# You are given f(x) = x4 - 3x3 - kx - 5. When f(x) is divided by x + 3, the remainder is 166.Determine the value of k.Use your value of k from part a....

You are given f(x) = x4 - 3x3 - kx - 5. When f(x) is divided by x + 3, the remainder is 166.

a.Determine the value of k.

b.Use your value of k from part a. to determine the remainder when f(x) is divided by x - 3.

We can use synthetic division and then set... View the full answer

1 comment
• The remainder for part b is 14. We can use synthetic division for that part as well.
• JEWooden
• Jul 20, 2016 at 12:08pm

a) plug in x=-3 we get... View the full answer

:− ( )=
ℎ −3 − ( ) ℎ −5 +3 166 =&gt; (−3) = 166
=&gt; (−3) − 3(−3) − (−3) − 5 = 166
=&gt; 81 + 81 + 3 − 5 = 166
=&gt; 157 + 3 = 166
=&gt; 3 = 166 − 157
=&gt; = 9
=3
3...

Synthetic division -3        1      -3     0      -k     -5  ... View the full answer

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents