Question

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I WILL AWARD MEDAL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Part 1: Determine whether 2 is a zero of the polynomial P(x) = 2x^3 – 5x^2 + 4x – 6 by using the Remainder Theorem. Show your work. (4 points)

Part 2: Explain how the Remainder Theorem is useful in finding the zeros of a polynomial function. (4 points)
@campbell_st @Loser66 @Mertsj @satellite73 @zepdrix @thomaster

Answer 1

Replace x with 2 and see if you get 0 for the result.

Answer 2

But can I just get like an explination or something please not just like bam here yo u go now you deal with it.

Answer 3

magbak...substitute 2 in place of x.

Answer 4

Simplify. Post the result.

Answer 5

Ok .

Answer 6

But is that using the remainder theorem?

Answer 7

Ok. You don't have to do that if you don't want to. It is your choice.

Answer 8

trust me I am not trying to be stubborn it is just I want to understand.

Answer 9

What did you get when you replaced x with 2?

Answer 10

Because I have to use the remainder theorem if I do not then I answered the question wrong even if the answer is right.

Answer 11

Ok give me one sec.

Answer 12

What did you get when you replaced x with 2?

Answer 13

I got -34

Answer 14

I think the remainder theorem goes something like this,

\(\large x=2 \qquad\to\qquad (x-2)=0\)

To use the remainder theorem, we'll want to divide our polynomial by x-2.
If we're left with any remainder, then this is not a zero of the function.

It's quite a bit more tedious than the process mert is showing you.
But if you have to use it, then that's what we should do :)

Answer 15

Is that true @Mertsj and @Loser66

Answer 16

\[2(2)^3-5(2^2)+4(2)-6=2(8)-5(4)+8-6=16-20+2=-4+2=-2\]

Answer 17

According to the remainder theorem, since the result is not 0, then 2 is not a zero of the function.

Answer 18

Oh my bad sorry I forgot my PEMDAS exponents first then multiplication.