#polynomial division thingy

58 messages · Page 1 of 1 (latest)

severe valve
#

question: find the remainder when the following function is divided by the linear factors indicated

#

^ for that it's (x+3)

blissful gust
#

Have you heard of the remainder theorem?
for a polynomial P(x) if P(x) is divided by (x-a) then the remainder is P(a)

severe valve
#

can u provide an example?

blissful gust
#

Substitute in x=-3 to your polynomial

severe valve
#

yeah

#

got 86

#

which is the answer...

blissful gust
#

Yes

severe valve
#

waitt

#

so i didn't have to do allat 💀

blissful gust
#

Yeh but it’s not explicitly taught at a level

#

Only the factor theorem is

severe valve
#

is there any wrong w what I did here tho

marsh gale
severe valve
#

the one i kinda crossed out?

marsh gale
#

yeah

#

everything up to that is correct so i think you messed up there kinda

severe valve
#

so yk there's no x^2 or x values

#

omg

#

i should've done 0x right?

marsh gale
#

that's not it...

#

it's ii?

severe valve
#

iv

#

wait

#

oops

#

VI

marsh gale
#

wair even then

#

nvm

marsh gale
severe valve
#

so there's 2x^4 n 3x^3 right

#

nothing w a power of 2 or 1 soo

marsh gale
#

and then subtracted

severe valve
#

thanks kiwi

#

i swr i've been tryna figure it out for ages

marsh gale
#

try it again but put 0 as the coefficient of the missing ones hehe

severe valve
#

okay

marsh gale
#

if you message again i'll likely be in maths but i'll still check (maybe)

severe valve
#

omg i got it right now

#

thanks a lot kiwi

severe valve
#

@marsh gale how would i do vii and viii?

severe valve
#

accidently deleted

lofty dome
#

using the remainder theorem i got 2a^3

severe valve
#

how do u use it here

lofty dome
#

its my first time hearing of this method too its like 1000x quicker than long division 😭

severe valve
#

ohhhhhhhh

#

thanks man

#

for viii would it be

#

let x = -a
x^3 - a^3 = -a^3 - a^3
-2a^3 ?

#

ah it's correct

lofty dome
#

NICEEE

severe valve
#

cmonn

marsh gale
#

sorry