• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

2022 EXT 1 MATH CSSA (1 Viewer)

Flise

Member
Joined
Jan 22, 2022
Messages
59
Gender
Male
HSC
2022
Wtf was that Q14c) Polynomial question…

Q14b
P(x) = x^3 + kx^2 + mx + n, it’s roots are alpha, beta, gamma all of which are distinct

It is known the roots of the monic polynomial Q(x) are alpha^2, beta^2, gamma^2

Show Q(x^2) = -P(x)*P(-x)

ii) Find Q(x)
 
Last edited:

jklol

Member
Joined
Jun 8, 2021
Messages
91
Gender
Male
HSC
2022
didn't you need to use the result from i) tho. do you remeber what it was?
 

Flise

Member
Joined
Jan 22, 2022
Messages
59
Gender
Male
HSC
2022
didn't you need to use the result from i) tho. do you remeber what it was?
Yeah Q14ci) was something like:
P(x) = x^3 -3x^2 + x + 1, roots are alpha, beta, gamma

R(x) = x^3 -107x^2 + 27x + 1

Find alpha^4 + beta^4 + gamma^4
 

011235

Active Member
Joined
Mar 6, 2021
Messages
207
Gender
Male
HSC
2023
Yeah Q14ci) was something like:
P(x) = x^3 -3x^2 + x + 1, roots are alpha, beta, gamma

R(x) = x^3 -107x^2 + 27x + 1

Find alpha^4 + beta^4 + gamma^4
What does R(x) have to do with this
 

Flise

Member
Joined
Jan 22, 2022
Messages
59
Gender
Male
HSC
2022
What does R(x) have to do with this

Also in ii is P(x) monic
Honestly not sure but the question suggested to use it somehow along with Q14bii) I think you could still solve alpha^4 + beta^4+ gamma^4 without it but it’ll take long af… Can’t imagine expanding (alpha + beta + gamma)^4
 

011235

Active Member
Joined
Mar 6, 2021
Messages
207
Gender
Male
HSC
2023
Never seen before thats pretty wild but here goes (wihtout just finding the zeros)




Find
(1)
(2)
(3)
add (1) (2) and (3) together and rearrange for

Find


Now you have a value for with some trivial subsitutions.

Now here's the cursed part





substitute blah blah now you have
 

jklol

Member
Joined
Jun 8, 2021
Messages
91
Gender
Male
HSC
2022
Wtf was that Q14c) Polynomial question…

Q14b
P(x) = x^3 + kx^2 + mx + n, it’s roots are alpha, beta, gamma all of which are distinct

It is known the roots of the monic polynomial Q(x) are alpha^2 + beta^2 + gamma^2

Show Q(x^2) = -P(x)*P(-x)

ii) Find Q(x)
also mate the roots weren't were they? because this question wouldn't make any sense because your saying has 1 root???
 

Flise

Member
Joined
Jan 22, 2022
Messages
59
Gender
Male
HSC
2022
also mate the roots weren't were they? because this question wouldn't make any sense because your saying has 1 root???
yeah my bad it should be alpha^2, beta^2, gamma^2
 

Flise

Member
Joined
Jan 22, 2022
Messages
59
Gender
Male
HSC
2022
also lol are you ready for eco
I’ve only memorised essay plans for monetary policy, exchange rate, BOP, China case study 🥲

Fiscal I’m not as confident just need something on resource allocation (probs gotta look at past budgets or sumn)

I personally don’t like protection or any topic 1 stuff. Like all I can think of is Whitlam’s 25% across the board tariff cut and the closure of PMV industry 😖
We haven’t done micro or environment so it won’t be tested though if the question asks for policies for unemployment I’ll probably do a bit of micro.

Also how are you preparing lol. Idk I feel like I’m alright for short answers and multiple choice which is why I’m focusing more on essays
 

jklol

Member
Joined
Jun 8, 2021
Messages
91
Gender
Male
HSC
2022
i fucking exhuasted mane, i memorised 9 essay's and like all of topic 4 isnt in the exam lol cause we didnt do any of it yet haha
 

jklol

Member
Joined
Jun 8, 2021
Messages
91
Gender
Male
HSC
2022
I’ve only memorised essay plans for monetary policy, exchange rate, BOP, China case study 🥲

Fiscal I’m not as confident just need something on resource allocation (probs gotta look at past budgets or sumn)

I personally don’t like protection or any topic 1 stuff. Like all I can think of is Whitlam’s 25% across the board tariff cut and the closure of PMV industry 😖
We haven’t done micro or environment so it won’t be tested though if the question asks for policies for unemployment I’ll probably do a bit of micro.

Also how are you preparing lol. Idk I feel like I’m alright for short answers and multiple choice which is why I’m focusing more on essays
ALSO YESS look at past budget outcomes its pretty much required knowledge tbh, I've talked to a lot of band 6 eco students and they said the same.
 

Flise

Member
Joined
Jan 22, 2022
Messages
59
Gender
Male
HSC
2022
ALSO YESS look at past budget outcomes its pretty much required knowledge tbh, I've talked to a lot of band 6 eco students and they said the same.
Yeah I know the gist like tax write offs for small businesses, child care subsidies but probs just gotta flesh it out a bit more. Also what are the topics of the 9 essays you have memorised? Are they predominantly economic issues?
 

jklol

Member
Joined
Jun 8, 2021
Messages
91
Gender
Male
HSC
2022
inflation, protection , unemployment (my best ones), exhange rates, fiscal policy, eco growth, Financial flows, External stability and distrubtion of income and wealth. (they're all really damn broad lmao)
 

mmmmmmmmaaaaaaa

Well-Known Member
Joined
Jun 11, 2021
Messages
1,414
Gender
Male
HSC
2022
Honestly not sure but the question suggested to use it somehow along with Q14bii) I think you could still solve alpha^4 + beta^4+ gamma^4 without it but it’ll take long af… Can’t imagine expanding (alpha + beta + gamma)^4
If it is (alpha + beta + gamma)^4 , then you can use (-b/a) for whatever said function was, no?
as (-b/a) = α + β + γ
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top