Silly Questions Thread

[Aqualim]

did you long divide it properly heh xD you shouldn't get another polynomial as the numerator.

When I put both equations into the calculator they are exactly the same, unless i'm supposed to simplify it further? if thats what your saying, haha sorry bit slow

[TrueTears]

well yeah haha, you need to long divide them

[the.watchman]

There is a shortcut!

For horizontal asymptotes, it's the top co-efficient of x over the bottom co-efficient of x (in this case, )

For vertical asymptotes, let the denominator equal 0, ,

So to divide, pull the out as 'c', and work out what is left as the numerator ('a').

There shouldn't be any x in the numerator


Moderator Action: fixed LaTeX

[Aqualim]

Given that when and where , show that is not defined.

How would I go about showing the working out for that equation?

I already know by looking at it, that in order for to be undefined, as the square root cannot be a negative number..

[superflya]

for f(g(x)) to be defined

[m@tty]

Well for to be defined







is not defined.

[Aqualim]

Cheers guys

[Aqualim]

Let
Show that is divisible by for all k

Would that just be as simple as;



Meaning that is divisible??

[Syncness]

Well for to be defined







is not defined.

Isn't it different when they ask you to define something, and prove if it exists?

Defining is just writing it, regardless if it exists?

Proving it exists is matching the range and domains.

[Aqualim]

Another question;

The graph of the cubic function cuts the x-axis at the point with coordinates and touches the x-axis when . It has a y-axis of . Find the equation of the cubic function?

Ok, so I know that it has to be a repeated factor, since it touches one x-intercept whereas it cuts another, but how would I get ?

[TrueTears]

sub in x = 0 and y = a^3b^3 to work out the other constant (q), there is another constant q because of the fundamental theorem of algebra.

y = q(x-r_1)(x-r_2)^2

[the.watchman]

Ok:

Let

Sub into above





So the equation is

EDIT: Beaten yet again

[Aqualim]

Ok:

Let

Sub into above





So the equation is

EDIT: Beaten yet again

hmm it really wasn't hard at all... how sad

[the.watchman]

hmm it really wasn't hard at all... how sad

There's no need to say that, now you know how to do these types of questions!

[Aqualim]

hmm it really wasn't hard at all... how sad

There's no need to say that, now you know how to do these types of questions!

Very true, I suppose the letters just through me off, if they were numbers it would have clicked.

Thanks for your help guys