The Remainder Theorem is useful for evaluating polynomials at a given value of x, though it might not seem so, at least at first blush. This is because the tool is presented as a theorem with a proof, and you probably don't feel ready for proofs at this stage in your studies. Fortunately, you do not "have" to understand the proof of the Theorem, you just need to understand how to use the Theorem.
The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". Then the Theorem talks about dividing that polynomial by some linear factor x – a, where a is just some number.
You can check the example to get more understand of this problem. Let me tell you, this type of problem is also a common problem that always occurs in Mathematics Out-Standing Student Examination in Cambodia.
I also created a video about this problem as well, you can check out this video here:
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