for each of the following find all rational roots of the polynomial equation 2x cube - 5 x square + 1=0

Given:

The equation of polynomial is

To find:

All rational roots of the polynomial.

Solution:

According to the rational root theorem, all the possible rational roots of a polynomial are defined as

where, p is a factor of constant term and q is factor of leading coefficient.

We have,

Here, leading coefficient is 2 and constant term is 1.

Factors of 1 are ±1.

Factors of 2 are ±1, ±2.

Using rational root theorem, we get

Therefore, all possible rational roots of the given polynomial are .

equal to

step-by-step explanation:

30

step-by-step explanation:

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