Four.
Checking, I find that it has three - 0, 0, 3, 6. There's a multiplicity in 0, so therefore three unique zeroes.
f(x) = 8x4 – 72x3 +144x2
f(x)= x2(x-3)(x-6) this is the factorized function, in order to have f(x)=0 your variable must assume the following values x=0 or x=3 or x=6
I hope this will help you
general rule of thumb: every polynomial has equal number of roots as its order !!
so a 4th order polynomial will have 4 roots
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Four.
Checking, I find that it has three - 0, 0, 3, 6. There's a multiplicity in 0, so therefore three unique zeroes.
f(x) = 8x4 – 72x3 +144x2
f(x)= x2(x-3)(x-6) this is the factorized function, in order to have f(x)=0 your variable must assume the following values x=0 or x=3 or x=6
I hope this will help you
general rule of thumb: every polynomial has equal number of roots as its order !!
so a 4th order polynomial will have 4 roots