VCE Specialist 3/4 Question Thread!

[pi]

Factorising that by hand is a very tough ask. Not realistic imo.

[Daenerys Targaryen]

How else would you factorise that without factorising it?

[Jeggz]

How else would you factorise that without factorising it?

CAS Calculator.

[Daenerys Targaryen]

Yeah but the original question was to do it WITHOUT calc

[Jeggz]

Factorising that by hand is a very tough ask. Not realistic imo.

this! It's very unlikely that this would ever crop up on a SAC or the exam.

[Daenerys Targaryen]

Yeah i know that. Was just curious to know if there was another way.

[Jeggz]

Right, sorry! My bad 

[Limista]

this! It's very unlikely that this would ever crop up on a SAC or the exam.

This was the question in my SAC actually - that is why I am wondering how to do it?

@Hatersgonnahate: it has 4 complex solutions, so substituting in a real number for x in the hope that the equation will equal 0 is not an option unfortunately.

It is unrealistic I suppose, but I was asked to algebraically determine the answer. Can anyone do this at all, otherwise I'll admit defeat?

Thanks for the replies 

[Limista]

I've also got something else that's been nagging me:

c(x) = q(x)

where c(x) has factor x² - 28x + 207
and q(x) has factor x² - 28x + 207

If I do...

c(x) - q(x) = 0 does that mean that    c(x) - q(x)    has factor x² - 28x + 207 ?

[Planck's constant]

I've also got something else that's been nagging me:

c(x) = q(x)

where c(x) has factor x² - 28x + 207
and q(x) has factor x² - 28x + 207

If I do...

c(x) - q(x) = 0 does that mean that    c(x) - q(x)    has factor x² - 28x + 207 ?

have you noticed that if you divide x^2 -28x + 207 into the quartic polynomial of a few posts ago by polynomial division, the result is,

x^4 - 9x^3 - 175x^2 - 267x + 31050 = (x^2 -28x + 207)(x^2 +19x + 150)

HTH

[Limista]

have you noticed that if you divide x^2 -28x + 207 into the quartic polynomial of a few posts ago by polynomial division, the result is,

x^4 - 9x^3 - 175x^2 - 267x + 31050 = (x^2 -28x + 207)(x^2 +19x + 150)

HTH

Yes I did notice that...

[JieSun92]

can someone please help me with this question. i have attached a photo.

[Daenerys Targaryen]

[zvezda]

Hey, in the essentials text, there's a question which asks to differentiate y=arcos(3/x) where x>3. what is the significance of the "x>3"? doesnt that exceed the domain the function anyway?

[Phy124]

is undefined over the domain .

As the function has a minimum value of and a maximum value of this means the minimum value of the can be put into the function is and the maximum value is (simplicticly, the range of is therefore the domain of its inverse ,, will be

Therefore the domain is represented as





Meaning the domain of the function   is:

and