Question

Use the Remainder Theorem and synthetic division to find the function value of g=2x^6+3x^4-x^2+3

~apply all of the following in the problem~
a. g(2)
b. g(1)
c. g(3)
d. g(-1)

Answer 1

@jhonyy9

Answer 2

Do you know how to do synthetic division
also, do you know what it means by g(_)

Answer 3

We have \[2x^6 + 3x^4 -x^2 +3\]
And we have to divide it by
(x-2), (x-1), (x-3), (x+1)

as you can see, I flipped the signs from positive to negative, because when we do synthetic division, the -2 is 2, -1 is 1, etc.

Answer 4

Do you know how synthetic division works?

Answer 5

I think so. So you would but the g(_) options below the equation given?

Answer 6

Division... sorry

Answer 7

Nevermind, yes
You would divide the (x-+ _) with the polynomial

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @TETSXPREME
Sorry wrong thing
\(\color{#0cbb34}{\text{End of Quote}}\)
very wrong thing._., pemdas doesn't apply here

Answer 9

lol Thank you for the help. I will come back here when I solve it and I will let you know what I got

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @MiraAngel
lol Thank you for the help. I will come back here when I solve it and I will let you know what I got
\(\color{#0cbb34}{\text{End of Quote}}\)
kk

Answer 11

Okay. For (x-2) I got
\[2x^5+4x^4+11x^3+22x^2+43x+86+\frac{ 175 }{ x-2 }\]

Answer 12

yep, that's correct

Answer 13

kk I'll work on the others :) Again, thank you for helping me,.

Answer 14

no problem xd

Answer 15

Sorry, I'm keeping busy with other things too. I only have one more to do. I'll post in a sec

Answer 16

To be honest, if you know how to do it, you can just use an online calculator to check your work, mathway is pretty neat

Answer 17

okay. yeah. I finished all of them but can't upload. I think I'm all good. thank you! I have a couple more problems I need help with. I'll post them on another question

Answer 18

kk, sure