how do i do long division with polynomials

[torpid sable]

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[honest wasp]

@pliant valve exactly how you do long division with numbers

nothing different really

ahh

i see you have it setup

so just put shit in the quotient such that the biggest power of x below cancels out

then subtract

put something back up there again

dk

when the remainder is a constant

[desert fox]

anything that is lower degree than the divisor, or 0

no, as long as the degree is lower than the divisor

if I divide by a cubic

a quadratic could be the remainder

or a linear function, or a constant, or 0

you stop

since you cant put a quadratic into a linear

same way you cant put 7 into 2

yes, since then you cant put the divisor evenly into the last thing in your algorithm

so it terminates

you write it as $\frac{f}{d}=q+\frac{r}{d}$ or $f=qd+r$

[celest delta]

Omegabet_

[desert fox]

d -divisor, q - quotient, r - remainder

f is just whatever the dividend is

[honest wasp]

@pliant valve that's right