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# confused on 2 questions

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1540
4
+1998

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(__) = ___

I am complte unsur

Aug 16, 2019

#1
+114141
+2

First one....we are testing whether x + 1  is a divisor of the  numerator.....this is the same as  testing whether  -1  is a root....so.....

Sub  -1  into the the  numerato and we  get that

−12(-1)^17+3(-1)^5−9(-1)^2−1   =

12  - 3  - 9   -  1  =

-1

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

You are correct, Jenny!!!!

Aug 16, 2019
#2
+114141
+2

question 2

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

f(__) = ___

This says  that  f(-3)  = 11

Aug 16, 2019
#3
+1998
+1

Thank you for checking my first answer and helping me with the second! I was overthinking the second one

jjennylove  Aug 16, 2019
#4
+114141
0

OK....no prob....!!!

CPhill  Aug 16, 2019