#fraction decmposotion
harsh tigerBOT
true heron
some problems we did i found easyt
this one
i have no idea
in the key my teacher uses syntheti cdivison and i have no idea why
i cant figure out how to factor the denominator
idk where to go
once i do
im just fully lost
if anybody can give some idea to solve it that will help
or explain why the teacher does everything at least
onc ei get the 3 blue equations ill beo good
mighty merlin
with a/x+1 ?
thats how partial fractions work, you create a sum of equation that equate to the original expression
true heron
i thought we only need to do synthetic divison if the degree of numerator is more than denomiantor
im still not very confident in what i know because we started learning this last class this is our first homework on the topic
true heron
i know how to do synthetic dvision but still why she dividng by x+1
or why dividng at all still not sure
mighty merlin
on this part?
true heron
no in the synthetic division
true heron
on this part?
here i understand it sbecause thats the factors
but ia lso dont know how ur meant to factor that denominator
mighty merlin
jsut watching a video on synthetic division
true heron
it gets the same answer
i know how to do it
idk why she doing it here
like whats the purposoe
mighty merlin
ok so
shes re-written x^3+2x^2-5x-6
as (x+1)(x^2+x-6)
do u know how to put it in brackets like that?
its just factorising
she did that becuase she doesnt want to divide by the whole denominator
its easier to just write it as a form of factors and divide by the smalklest factor x+1
she used synthetic division to factorise it
so let me write it in a summary, she knew x+1 was a factor, she divided by that factor through synthetic division to find all the factors of x^3 +2x^2 -5x -6
and then she's written them as partial fractions
and multiplied on each side like you usually do with partial fractions