SOMEONE HELP PLEASE MEDAL REWARDED!!

Question

anonymous · Answer

attachment

anonymous · Answer

@genius12  @Loser66  @satellite73  @SmoothMath  @vinnv226

anonymous · Answer

@e.mccormick

anonymous · Answer

@Mr.ClayLordMath

e.mccormick · Answer

Polys can't have negative or fractional exponents, which also eliminates roots.

anonymous · Answer

it eliminates a,e and f?

e.mccormick · Answer

Correction: Polly variables can't have....

anonymous · Answer

what?

e.mccormick · Answer

Well, the constant part can be any valid constant.  But the variable (x, y, etc.) can't be the bottom of a fraction, have a fraction for an exponent, or have a negative exponent.

e.mccormick · Answer

So $x^2$ is good and so is $\frac{1}{2}x^2$ , whichh means  $\frac{x^2}{2}$ is fine because that is just the 1/2 in disguise.

However, these are all invalid as polys:
$x^{-2}$ 

$\dfrac{1}{x}$

$\sqrt[3]{x}$

$x^{\frac{1}{2}}$

e.mccormick · Answer

A constant part, and just the constant part, is fine as a root.  Why?  Well, think about this: $2=\sqrt{4}$ right?  Well, $x+2$ is a polynomial, which means $x+\sqrt{4}$ is also a poly.

anonymous · Answer

im still confused

e.mccormick · Answer

OK, know what the constant and variables are references to?  What I mean when I say constant or when I say variable?

anonymous · Answer

the number nd the letter?

e.mccormick · Answer

Basically... but there is a little more.  In $3x^2+7x-5$: 3, 7, and 5 are the constants and x is the variable.  However, there are times like this: $\pi r^2$ where $\pi$ is the constant and r is the variable.  So not just a number but also things that represent specific values.

e.mccormick · Answer

$e$, $i$, $\pi$, $\sqrt{2}$ and many others that are not integers are constants.

e.mccormick · Answer

So in a polynomial the constants can be any valid constants.  Fractional constants, real constants, complex constants, and so on.  

The restrictions are on the variables.  The variables can not: be in the bottom of a fraction, have a negative exponent, have a fractional exponent, or be inside a root.

anonymous · Answer

b,d,e?

e.mccormick · Answer

Missing one....

anonymous · Answer

a?

e.mccormick · Answer

Nope.  That is a variable inside a root.

anonymous · Answer

i think its f

e.mccormick · Answer

constant inside a root: OK, variable: bad.

Yes. F.

anonymous · Answer

so the answer r are b,d,e,f?

e.mccormick · Answer

Yep.  b, d, e, f.  a has a root in the wrong place.  c has a negative exponent on a var.  

Sorry bout the confusion at the start.  

Oh, and you may wonder why $x^2$ can be a poly when poly means many or multiple.  It is logical why.  See, $x^2= x^2+0$ and therefore the invisible +0 makes any single term into a polynomial!

anonymous · Answer

its ok and that was very helpful

e.mccormick · Answer

Kk.  Have fun!