2026 HSC CHAT (10 Viewers)

[ALolly]

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]

View attachment 51537
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]

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?)

 

[Burnt_Out]

Intermediate value theorem is ext sadly

thats sad ig the only option is to sub in points. usually its cus of the coefficients like 2+3=5 or smth like that. idk what adv wants from you

 

[f7eeting]

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]

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]

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]

View attachment 51537
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]

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

 

[Jaros]

yeah but this is in math adv apparently

oh what my bad then? how could he does this without math ext techniques?

 

[ALolly]

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]

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]

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

 

[Study to success]

I've had 2 people tell me that integration was the hardest topic in adv

 

[f7eeting]

I've had 2 people tell me that integration was the hardest topic in adv

integrations pretty fun once you get the hang of it. but i havent encountered ext 1/2 integration yet, so ill probably take this back later

 

[Burnt_Out]

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.

 

[Burnt_Out]

integrations pretty fun once you get the hang of it. but i havent encountered ext 1/2 integration yet, so ill probably take this back later

its literally the same thing in me2

 

[Study to success]

for me its 3d trig and maybe financial maths.

U think that’s the hardest? That’s literally the easiest imo. Stuff like logs, the other trig stuff, etc are the worst. Probability isn’t even that bad tbh. I swear my struggles are the opposite to everyone else’s

 

[f7eeting]

U think that’s the hardest? That’s literally the easiest imo. Stuff like logs, the other trig stuff, etc are the worst. Probability isn’t even that bad tbh. I swear my struggles are the opposite to everyone else’s

financial math makes me want to sob. why is it so boring?

 

[Study to success]

financial math makes me want to sob. why is it so boring?

Yea that’s true but it’s better than destroying my brain with harder stuff