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Let $f(x)$ be a polynomial of degree greater than $2$. If $f(1) = 2$ and $f(2) = 3$, find the remainder when $f(x)$ is divided by $(x-1)(x-2)$.

 Jan 6, 2021

Best Answer 

 #3
avatar+32052 
+3

As follows:

 

 Jan 7, 2021
 #1
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-1

By the Remainder Theorem, the remainder is 4x - 3.

 Jan 7, 2021
 #2
avatar+112874 
-2

Please show your working.

Melody  Jan 7, 2021
 #3
avatar+32052 
+3
Best Answer

As follows:

 

Alan Jan 7, 2021
 #4
avatar+112874 
-2

Thanks Alan,

That makes good sense :)

Melody  Jan 7, 2021

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