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when using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9
a)4
b)3
c)2
d)5

Sagot :

Facundo3141592idn

The only option that meets the root theorem is option b.

which of the following is a possible root of the polynomial function below?

The polynomial function is:

[tex]f(x) = 2x^2 - 4x + 9[/tex]

The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.

In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3

Where 3 is a rational number:

3 = 3/1

The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).

If you want to learn more about polynomials.

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