SOLUTION: When x+2 is divided into f(x), the remainder of 3. Determine the remainder when x+2 is divided into f(x) + (4x+7).
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Question 177075: When x+2 is divided into f(x), the remainder of 3. Determine the remainder when x+2 is divided into f(x) + (4x+7).
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
}{x+2}=q(x)+\frac{3}{x+2}\)
Use polynomial long division to determine that 
+4x+7}{x+2}=\frac{f(x)}{x+2}+\frac{4x+7}{x+2}=q(x)+\frac{3}{x+2}+4+\frac{-1}{x+2}=q(x)+4+\frac{2}{x+2}\text{ }\Large\Rightarrow \text{ Remainder }=2\)
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