Respuesta :
The factors of function f is -3, 0, 1/2, 3
We have given that,
the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
What is the function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
We have to determine the factor of the given function
[tex]2x^4 - x^3 -18x^2 + 9x =0[/tex]
[tex]x(2x^3-x^2-18x+9)=0[/tex]
[tex]x=0 \ and \ 2x^3-x^2-18x+9=0[/tex]
[tex]2x^3-x^2-18x+9=0[/tex]
[tex]2x-1=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-3=0[/tex]
Therefore the factors [tex]2x^3-x^2-18x+9=0[/tex] are
[tex]x=\frac{1}{2},\:x=-3,\:x=3[/tex]
-3, 0, 1/2, 3
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