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# just 2 questions

+1
107
2
+1150

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?

f(__) = ___

im a truthfully confused

Aug 16, 2019
edited by jjennylove  Aug 16, 2019

#1
+5788
+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
+5788
+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