A2 binomials

[astral sun]

@runic gate help me im beggingu

[runic gate]

If it’s |-2x| I think it should just be x<1/2

[jagged harbor]

Ur correct it's just u leave it as |x| < 1/2

|-2x| < 1 => 2|x| < 1 => |x| < ½

U don't need to solve it as a normal mod inequality

[astral sun]

but the range hello 😭

im so confused for when we leave as mod or when we dont

[jagged harbor]

For an infinite expansion its only valid when |x| < 1

So u leave it in mod

[astral sun]

how do i tell if its infinite

so was me writing -1/2 < x < 1/2 wrong

[jagged harbor]

with the powers if n is fractional or negative

technically no

But it's best to leave it as |x| < ½ for ms

but ye ur correct

It's not wrong

[astral sun]

oh

fairs

thanks x

im so confused a bit though

like when do we do -1/2 < x < 1/2

and when do we leave it as mod

[jagged harbor]

For the answer either works but like I said for markschemes with binomial expansion questions probably best to leave as mod

idk just in case some examiners are terrible markers😭

And only follow off ms

[astral sun]

ok fairs

ill leave it as mod next time x

thank u

[hollow skiff]

they mean the same thing personally I’ve never seen the ms care about it

but as ambi said some markers can be bad

[astral sun]

thanks nola

u slay

i'll just write the modulus of it

[hollow skiff]

gl girl ur doing good maths

[astral sun]

thanks x

i'm getting C's now in every AS paper i do (pure)

better than Es so i'll take it x

[hollow skiff]

nice improvement yh

[astral sun]

thanks nola x

i've consolidated the whole of binomials

just not the partial fractions bit yet

mainly cuz we haven't looked at it in maths

[hollow skiff]

yeah some of that is y2 content

[astral sun]

yuh

[hollow skiff]

like non natural number exponents

look at u go

[astral sun]

what.

[hollow skiff]

Calc next …

[astral sun]

one topic at a time please 😭

[hollow skiff]

no it’s the same thing

[astral sun]

icl i still don't get partial fractions with binomials

[hollow skiff]

non natural number means not positive integer

Exponent is just the power on the binomial

[astral sun]

thnks nola

so basically non natural means N?

[hollow skiff]

no no

A natural number is a positive integer (incl. zero I think)

And anything that’s NOT a positive integer

Is non natural

[tough carbon]

What’s the question?

[hollow skiff]

a natural number is denoted by

[hollow skiff]

It’s solved

[tough carbon]

Good

How are you Nola

[hollow skiff]

$\mathbb{N}$

[frigid surge]

nola

[hollow skiff]

@astral sun

[tough carbon]

Oh I get it

[jagged harbor]

ye

It's referred to as the counting set

[astral sun]

so any positive integer like 1,2,3,4,5 is a natural number?

[runic gate]

Not 0

0 is only natural in computer science

[hollow skiff]

Depends who u ask

Some people say it is

[runic gate]

Nah man

[astral sun]

stfu clarence e

@runic gate

[runic gate]

Hi