Use the rational zero theorem to create a list of all possible rational zeroes of the function f(x) = 14x^7 - 4x^2 + 2

Use the rational zero theorem

In rational zero theorem, the rational zeros of the form +-p/q

where p is the factors of constant

and q is the factors of leading coefficient

In our f(x), constant is 2 and leading coefficient is 14

Factors of 2  are 1, 2

Factors of 14  are 1,2, 7, 14

Rational zeros of the form +-p/q  are

Now we separate the factors

We ignore the zeros that are repeating

Option A is correct

Step-by-step explanation:

By the rational root theorem or rational zero theorem,

The possible;e solutions of a polynomial function is,

Here, the given function,

Constant term = 2 and Leading coefficient = 14,

Factors of 2 = 1, 2,

Factors of 14 = 1, 2, 7, 14

Hence, the possible roots of the function,

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step-by-step explanation: