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Mathematics 13 Online
zarkam21:

URGENT HELP ON THIS

zarkam21:

1 attachment
Hero:

Find F(2)

Hero:

@zarkam21

zarkam21:

Hi please help me please

Hero:

@zarkam21 I gave you a huge hint on what to do.

zarkam21:

would I do F(2)= x^4-2x^3+3x^2-10x+3?

Hero:

F(2) = 2^4 - 2(2)^3 = 3(2)^2 - 10(2) + 3

zarkam21:

I got 0?

Hero:

F(2) = 16 - 16 + 12 - 20 + 3

zarkam21:

-5/2?

zarkam21:

@Hero

Hero:

Explain how you got -5/2

zarkam21:

Well I used mathway.com

Hero:

There is no way to get -5/2 if you have nothing but whole numbers to evaluate

coacoapuffprincess:

Ill help ya!

zarkam21:

11?

zarkam21:

@Hero

zarkam21:

-7

zarkam21:

@Hero

Hero:

That is closer to the answer but not quite.

zarkam21:

-5

Hero:

Correct finally. Congrats

zarkam21:

Okay so is that step one to the problem

Hero:

Actually, that was part II. Part I was to identify the "a".

Hero:

Hopefully you know what "a" is at this point.

zarkam21:

2?

zarkam21:

?

zarkam21:

@Hero

Hero:

Yes, a = 2 in this case. Are you familiar with the remainder theorem?

zarkam21:

umm I think so

Hero:

Can you describe what the remainder theorem is in your own words?

zarkam21:

It factors F(x)

Hero:

The remainder theorem is the assertion that \(P(c)\) is the remainder when polynomial \(P(x)\) is divided by \(x – c\). What is implied here is that \((x - c)\) divides \(P(c)\) evenly only if the remainder is zero. In other words, \((x - c)\) is a factor of \(P(x)\) if and only if \(P(c) = 0\).

zarkam21:

so only if it ends up in zero it applies

Hero:

What I wrote above, is the explanation for Part III.

zarkam21:

Oh okay thank you

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