Respuesta :
any rational root of f(x) is a factor of 9 divided by a factor of 12
which is answer D
which is answer D
The required true statement for [tex]f(x) = 12x^{3} -5x^{2} +6x+9[/tex] is rational root factor of 9 divided by a factor of 12.
We have to determine, according to the rational root theorem, which statement about [tex]f(x) = 12x^{3} -5x^{2} +6x+9[/tex] is true.
Rational root theorem states that if the equation has rational roots they will be the factors of constant term divided by factors of highest power coefficient.
The Rational Root Theorem says that any rational root of f(x) is a factor of the trailing constant divided by a factor of the leading coefficient.
In this case, a factor of 9 divided by a factor of 12.
If there are any rational roots, it would be a factor of constant term (9) divided by a factor of the high-order coefficient (12).
There is one, but if one exists, it will be in that subset of rational number.
Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Hence, The required true statement for [tex]f(x) = 12x^{3} -5x^{2} +6x+9[/tex] is rational root factor of 9 divided by a factor of 12.
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