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avatar+1348 

Aditya determines the remainder of  −12x^17+3x^5−9x^2−1/x+1 , using the remainder theorem.

How does he proceed to the correct answer?

Aditya evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −1 .

Aditya evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −19 .

Aditya evaluates the numerator of the expression when x=−1 . He finds the remainder of the division to be −19 .

Aditya evaluates the numerator of the expression when x=−1 . He finds the remainder of the division to be −1 .

i thinks its D

 

question 2

What does the remainder theorem conclude given that  f(x)/x+3 has a remainder of 11?

Enter your answer by filling in the underlines

f(__) = ___

 

im a truthfully confused

 Aug 16, 2019
edited by jjennylove  Aug 16, 2019
 #1
avatar+6045 
+1

\(\text{To find the remainder when dividing by $(x+1)$ we evaluate the polynomial at $x=-1$}\\ (-12)(-1)^{17} + 3(-1)^5 - 9(-1)^2 -1 = \\ 12-3-9-1=\\ -1\\~\\ \text{D is the correct choice. Well done!}\)

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 Aug 16, 2019
 #2
avatar+6045 
+1

\(\text{The remainder theorem says that the remainder}\\ \text{when dividing $f(x)$ by $(x-c)=f(c)$} \)

 

\(f(-3) = 11\)

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 Aug 16, 2019

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