VCE Methods Question Thread!

[Gogo14]

for trig function values, do the examiners/teachers care if you do not rationalise the trig surd?
Just a lazy student here trying to minimise work

[MightyBeh]

for trig function values, do the examiners/teachers care if you do not rationalise the trig surd?
Just a lazy student here trying to minimise work

Nope, don't think so. 

[Gogo14]

Whats the difference between range and codomain?got really confused

[RuiAce]

Whats the difference between range and codomain?got really confused

A codomain is just the set of outputs you permit.

But consider f:[0,2]->[0,9], f(x)=x²

You permit the set of outputs to be [0,9]. That is to say, the codomain is [0,9]

But do you actually reach every element in the codomain? Note that NO value in the domain will ever be taken to 9, or 5, or 4.1

The range is the set of outputs your function actually reaches. Here, the range is [0,4]

[One Step at a Time]

Hi everyone 

Is it necessary/ beneficial to learn synthetic division? I've got long division and equating coefficients down pat, but the textbook also mentioned that another method of factoring polynomials is synthetic division. Not sure if it's advantageous to learn it or not.

Thanks 

[Adequace]

Hi everyone 

Is it necessary/ beneficial to learn synthetic division? I've got long division and equating coefficients down pat, but the textbook also mentioned that another method of factoring polynomials is synthetic division. Not sure if it's advantageous to learn it or not.

Thanks 

I think its faster than long division but I don't think its necessary to know.

[Sine]

Whats the difference between range and codomain?got really confused

You don't need to know about codomain but it wouldn't hurt to have an understanding(Re:RuiAce). In methods it will always be R.

Hi everyone 

Is it necessary/ beneficial to learn synthetic division? I've got long division and equating coefficients down pat, but the textbook also mentioned that another method of factoring polynomials is synthetic division. Not sure if it's advantageous to learn it or not.

Thanks 

Which textbook was synthetic division in?

It's definitely not necessary to know, you can get through VCE without ever using it.

[RuiAce]

Hi everyone 

Is it necessary/ beneficial to learn synthetic division? I've got long division and equating coefficients down pat, but the textbook also mentioned that another method of factoring polynomials is synthetic division. Not sure if it's advantageous to learn it or not.

Thanks 

Never used it before because there are even faster methods but it's definitely faster than polynomial long division as mentioned

You don't need to know about codomain but it wouldn't hurt to have an understanding(Re:RuiAce). In methods it will always be R.
Which textbook was synthetic division in?

It's definitely not necessary to know, you can get through VCE without ever using it.

So basically all of your functions are always surjective?

[Jakeybaby]

Hi everyone 

Is it necessary/ beneficial to learn synthetic division? I've got long division and equating coefficients down pat, but the textbook also mentioned that another method of factoring polynomials is synthetic division. Not sure if it's advantageous to learn it or not.

Thanks 

I'd definitely learn it, much faster than some other methods, but as previous have mentioned, not necessary, but advantageous.

[Buddster]

So basically all of your functions are always surjective?

Nah, the range varies but the codomain is (almost) always R

[RuiAce]

Oh wait you guys meant R as in R the real numbers. Ok gotcha.

[Buddster]

Oh wait you guys meant R as in R the real numbers. Ok gotcha.

Hahaha yeah  ℝ

[One Step at a Time]

Thanks everyone, I'll give a crack at short division then seeing that it might save time 

Sine- The Cambridge textbook! Attached a pic of what it says about synthetic division. 

[keltingmeith]

Oh wait you guys meant R as in R the real numbers. Ok gotcha.

... What other R could he mean? O.o

[Buddster]

... What other R could he mean? O.o

R as in Range, making the functions surjective