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# c3 help dividing polynomials (long division and remainder theorem) WILL REP! PLEASE! watch

1. x^4 + 3x^2 - 4

all divided by

x^2 + 1

i have to solve this question using 1) long division 2) factor theorem

BUT i cant do either

for long division i rewrote it as

x^4 + 0x^3 + 3x^2 + 0x- 4

all divided by

x^2 +0x + 1

but it all just goes wrong

if someone could write it out/photo it i'd love them forever and rep immediately?

as for remainder theorem, i havent a bloody clue. is it possible to explain to me or should i just stick to long division, or just keep practising or something? i'm already failing c3 and i only started a few days ago

thanks
jb
2. (Original post by jumblebumble)
x^4 + 3x^2 - 4

all divided by

x^2 + 1

i have to solve this question using 1) long division 2) factor theorem

BUT i cant do either

for long division i rewrote it as

x^4 + 0x^3 + 3x^2 + 0x- 4

all divided by

x^2 +0x + 1

but it all just goes wrong

if someone could write it out/photo it i'd love them forever and rep immediately?

as for remainder theorem, i havent a bloody clue. is it possible to explain to me or should i just stick to long division, or just keep practising or something? i'm already failing c3 and i only started a few days ago

thanks
jb

hard to know where you're going wrong. Maybe post a bit and saye exactly where you're stuck? Otherwise we're essentially teaching you form stratch which isn't what this forum is for.
3. (Original post by jumblebumble)
x^4 + 3x^2 - 4

all divided by

x^2 + 1

i have to solve this question using 1) long division 2) factor theorem

BUT i cant do either

for long division i rewrote it as

x^4 + 0x^3 + 3x^2 + 0x- 4

all divided by

x^2 +0x + 1

but it all just goes wrong

if someone could write it out/photo it i'd love them forever and rep immediately?

as for remainder theorem, i havent a bloody clue. is it possible to explain to me or should i just stick to long division, or just keep practising or something? i'm already failing c3 and i only started a few days ago

thanks
jb
You have said " Solve " you don't solve a division sum. Perhaps the question was " Find the remainder when f(x) is divided by x^2 +1
4. You could try:

let y = x^2

and work from there ... note x^4 = (x^2)^2 = y^2

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