Find the remainder when x⁴ - 2x³ + x - 5 is divided by x - 2.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the remainder when is divided by .
Need a reminder? The key ideaShow
Remainder theorem: dividing by leaves the remainder . For , use . Factor theorem: is a factor exactly when .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Put . .
Step 2. Add up. .
Answer: the remainder is .
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