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Determine the remainder when x3 + 3x2 – x – 2 is divided by (x + 3)(x+ 5)

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 Apr 27, 2020
 #1
avatar+21017 
+2

Suggestion:  multiply out the divisor:  (x + 3)(x + 5)  =  x2 + 8x + 15

Then use long-division to divide  x3 + 3x2 - x - 2  by  x2 + 8x + 15

 

[Your remainder will have both an x-term and a constant in it.]

 Apr 27, 2020
 #2
avatar+30089 
+2

Here's an alternative approach that doesn't require long division:

 

 Apr 27, 2020

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