algebra

[cinder valve]

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[cosmic breach]

have you considered factoring any expressions given?

[clear ember]

whats that ?

[cosmic breach]

do you know what factoring is?

[clear ember]

finding common multiples ?

[cosmic breach]

alright

have you dealt with quadratics yet?

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nop

[cosmic breach]

oh.

is this, like, a past paper or test?

[clear ember]

oh

it's hw

[cosmic breach]

so...

[clear ember]

idk how American schools group ages so--

[cosmic breach]

i assume you’re meant to factor in order to simplify

[clear ember]

wha

[cosmic breach]

you see the quadratic expressions?

[clear ember]

whats that ?

[cosmic breach]

ok

a quadratic is a polynomial of degree 2

[clear ember]

u lost me

[cosmic breach]

in simple terms, the highest power of the expression should be 2

so like x^2 is a quadratic

[clear ember]

oh

[cosmic breach]

or x^2+4x+3

and such

[clear ember]

I'm dumb so I've no idea what the saying

ure*

[cosmic breach]

oh

let me see if i can find an alternative

yeah, there’s no nice manipulation

it’s necessary to factor

[clear ember]

[cosmic breach]

so if you’re willing i could teach you a method that applies here

[clear ember]

nothx

[cosmic breach]

or you could teach yourself

[clear ember]

could u just say the answer ?

[cosmic breach]

it’s against server rules, sry

[clear ember]

o okk

sorry

[cosmic breach]

yeah, just learn that before tackling this problem

odd that it’s a question on hw when you haven’t learned it yet

you really haven’t touched quadratics yet?

[clear ember]

not sure

[cosmic breach]

if it’s okay, could you show me the lesson associated with the hw?

[clear ember]

it's a booklet

[cosmic breach]

the hw?

[clear ember]

sorry it's sideways ))

[cosmic breach]

,rotate

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woah

[cosmic breach]

okay, maybe i could reverse engineer this example

[clear ember]

huh ?

[cosmic breach]

did you do that problem?

Q1 part a)

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doing it rn

[cosmic breach]

ok

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w2-4w

[cosmic breach]

$w^2-4w$ right?

[wooden creek]

dark matter

[clear ember]

yup

[cosmic breach]

k

now think about this

factoring is basically breaking down that expression, $w^2-4w$, into that $w(w-4)$

[wooden creek]

dark matter

[clear ember]

oka

[cosmic breach]

now the concept is around common factors

so what do you notice is a common term between $w^2$ and $-4w$?

[wooden creek]

dark matter

[clear ember]

they both have w ?

[cosmic breach]

👍

thus we can take a w out (or factor it out, hence the name) to get w(w-4) by the distributive law

[clear ember]

ah

alright

[cosmic breach]

get it?

now let’s take something like $x^2-x-2$

[wooden creek]

dark matter

[cosmic breach]

are there any common term between all three terms?

[clear ember]

nop ?

[cosmic breach]

👍

so we have to introduce a new method.

i.e., get it to a form such that some terms have a common factor

so for this example, it turns into $x^2-2x+x-2$

[wooden creek]

dark matter

[cosmic breach]

there is a reason for this

we have to take 2 numbers that add to -1 and multiply to -2

so what would those numbers be?

[clear ember]

2

and 1 ?

-1

[cosmic breach]

add to negative 1 and multiply to negative 2

you got the second part, but not the first

[clear ember]

-2 n -1

[cosmic breach]

now you are missing both parts

hint: ||only one number is negative, and think about the sign of the added numbers ||

[clear ember]

oh I get it now ty

+close

[native acorn]

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[native acorn]

Thank you for your feedback! dark matter has been awarded 1 . They now have 921 . They have 3 daily left for today.

[clear ember]

o wait also thank @cold lotus twice

+thank @cold lotus