According to the rational root theorem, which of the following are possible roots of the polynomial function below?
F(x) = 4x2 - 6x2 + 9x + 10

A.5/4
B.1/3
C.-1/2
D.5
E.6
F.-2

Given:

The polynomial function is

To find:

The possible roots of the given polynomial using rational root theorem.

Solution:

According to the rational root theorem, all the rational roots and in the form of , where, p is a factor of constant and q is the factor of leading coefficient.

We have,

Here, the constant term is 10 and the leading coefficient is 4.

Factors of constant term 10 are ±1, ±2, ±5, ±10.

Factors of leading term 4 are ±1, ±2, ±4.

Using rational root theorem, the possible rational roots are

Therefore, the correct options are A, C, D, F.

john got lost so he didn't know what to do and it was crazy because he didn't except it

step-by-step explanation:

123123 step byt step

mr. india