3.1 The Remainder theorem and the Factor theorem

The notes are on blackboard, make sure you follow along as normal. These videos are in sequence.

Now using polynomial division to calculate

    \[\frac{3x^3-7x^2-22x+8}{3x-1}.\]

After you’ve done it, you can watch the following video to check your work.

You should now be able to do problems 1 and 2 on WebAssign Homework 3.1

Now learn a shortcut way to do the above for special cases:

You should now be able to do problems 3 and 4 on the WebAssign homework.

Now try to use the remainder theorem (don’t calculate it directly) to find P(2) when P(x)=2x^3-x^2+3x-1.

After you do that, you can compare your answer to the solution in the next video.


You can now do problem 5 and 6!

Now you should be able to do problems 7 and 8. If you have trouble, be sure to ask in the discord!

Now for the last video:

You can now do problem 9.

Finally using all this knowledge, you should be able to do problem 10!