Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? select all that apply.

All potential roots are 3,3 and .

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

All possible roots

Now we check each rational root and see which are possible roots for given function.

Similarly, we will check for all value of p/q and we get

Thus, All potential roots are 3,3 and .

The potential roots of the expression  are 3,3, and -5/3.

Given

The given expression is;

The Potential roots are defined as the factors of the constant term by the factors of the leading coefficient.

The following formula is used to calculate potential roots;

The potential roots of expression are;

The common possible roots are .

Therefore,

Substitute all common possible roots in the equation

Here, x= 3 is the potential root of the given expression.

Hence, the potential roots of the expression are 3,3, and -5/3.

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