2026 HSC CHAT (9 Viewers)

band6antics

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Hey if anyone needs TUTORING for any of these subjects DM ME asap (taking both yr11s and 12s)

Investigating Science (95 HSC, 98 exam mark)
Business Studies (95 HSC, 95 exam mark)
Legal Studies (91 HSC, 91 exam mark)

available for BOTH online and in-person

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f7eeting

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I think I am burned out. I keep making so many mistakes with everything, not just mathematics. Is this burn out or something else?
you should take a break for a while. just stick to doing work that you know you can do consistently with little to no mistakes so you're at least making progress.
maybe you're trying to go through content too quickly?
 

ALolly

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don't you just make it equal to zero and then take the 5 to the other side and factorise the left side my taking out x square and then solve it for x
 

Burnt_Out

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Can someone please tell me how to find the x intercepts of this without ext math? Am I just stupid and forgetting some easy method or what
finding the x int basically means letting it equal 0. For this one, this seems like it requires e1 techniques to make sure you got all of the x-intercepts however, you can literally guess and check to find one. I guess you can use calculus and find the turning points and use the intermediate value theorem (idk if that is in math advanced).
 

f7eeting

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yeah if its a cubic u can just sub in random numbers for x. i usually go -1, 1, 2.. you get the idea. also usually it'll be a multiple of the constant (or so ive heard)
then you know what one factor is and you.. gimme a moment ill show my working (how do u send photos here btw?)
 

f7eeting

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Making y = 0 is all fine but I really don't know how to do this with a cubic. I've already gotten all the turning points so I would think the easiest way is to find the gradient in 2 intermediate areas, say y=5 and y=1 to have a rough estimation but that isn't helpful because the intercepts have to be labelled.



I just took a photo on my phone and sent it to email it to myself to copy from my laptop

And yeah, I've seen subbing in values to get an approximation but that becomes difficult if the curve ranges beyond x = -5 to 5
yeah that is true but my teacher told us they'll rarely give anything that ranges beyond that
 

Burnt_Out

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I don't believe I've heard that before
Sometimes, people will recognise the coefficient as something that will eventually add up to 0 and thus will sub in 1 or -1. There a whole list of potential rational roots that but thats in ext 1. If they ask this in adv i assume you have to sub in points as there is a whole topic in ext 1 about polynomials
 

f7eeting

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Screenshot 2026-02-01 at 11.00.04 am.png
ignore how i wrote the same line twice... i thought i could factorise the quadratic but i checked the determinant and theres no real roots
also unfortunately figuring out the quadratic that gets multiplied by (x+1) requires polynomial division 😥

tbh tho id say to not worry about it i dont think you'll run into questions that ask u to do this in adv like ever
 

Jaros

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Can someone please tell me how to find the x intercepts of this without ext math? Am I just stupid and forgetting some easy method or what
use rational root theorem and then sub in those values until u get a root out, and then just use sums and products to find the other two roots, u can check if other two roots exist by taking the discriminant of the quadratic factor u get after the linear factor u found using the rational root theorem
 

Burnt_Out

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use rational root theorem and then sub in those values until u get a root out, and then just use sums and products to find the other two roots, u can check if other two roots exist by taking the discriminant of the quadratic factor u get after the linear factor u found using the rational root theorem
yeah but this is in math adv apparently
 

ALolly

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I finally started integration, is it really difficult? Like..... the most difficult thing in the advanced syllabus?
i mean it is one of the challenging topics but i wouldn't say its too difficult. i would often just get confused between the integration and differentiation formulas cuz they are really similar but after a lot of practice i'd say you kinda get the hang of it
 

f7eeting

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I finally started integration, is it really difficult? Like..... the most difficult thing in the advanced syllabus?
my math teacher says that integration is like 🤏 this in comparison to other topics (especially in adv)
its just rules, like differentiation, so if you like differentiation you'll like integration. imo stats and probability are the most difficult things in adv 😂
 

ALolly

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my math teacher says that integration is like 🤏 this in comparison to other topics (especially in adv)
its just rules, like differentiation, so if you like differentiation you'll like integration. imo stats and probability are the most difficult things in adv 😂
yeaa i agree i hated random variables and all that stuff compared to anything else
 

Burnt_Out

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I think optimisation problems are the hardest it ever gets.

It's all just rules though. I am finding integration though one of the very slightly more difficult topics.

Half of Statistical Analysis for Year 12 seems like Standard 2 Mathematics to be honest.
for me its 3d trig and maybe financial maths.
 

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