(x^5+18x^2-27x)/(x+3)
\[\frac{x^{5}+18x^{2}-27x}{x+3} \] what do you want to do with it? simplify?
find the quotient
Synthetic division
idk it says find the quotient and enter your answer n the decending order below.
would long division work? i havent done polynomials in a while..
i think so
I think that this is easier; not sure if it would work: \(P(x)=D(x)*Q(x)\)
You do it like the pic below, \[x^4-3x^3+9x^2-9x\] is your quotient
num is(x^5+18x^2-27x) x^5 -3x^4 + 3x^4 + 9x^3 - 9x^3 +27x^2 -9x^2 -27x => x^5 - 3x^4 + 9x^3 -9x^2 + 3x^4 -9x^3 + 27x^2-27x =>x(x^4 -3x^3 + 9x^2-9x) + 3(x^4 -3x^3 + 9x^2-9x) =>(x^4 -3x^3 + 9x^2-9x)(x+3) which gives your ans and by thew way,,long division will also work..
@Mimi_x3 there are other ways, since the remainder is 0, we can say that x=-3 is a factor of (x^5+18x^2-27x) then f(-3)=x^5+18x^2-27x
but that's finding zero , lol
just use the synthetic division ;)
is it easier
its the same thing i suppose..
okaii
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