Question

Hello, May I please get some assistance with this homework question? I posted an image below Q8

Answer 1

-1, 1, -1/3, 1/3

We have to use the rational zero theorem:

We have the following polynomial function:

`3x^4-2x^3+x^2-x+1_{}`

We have to find the constant term which in this case is the one that doesn't change because it is not affected by a variable. We have to find the possible multiples of the constant term (which is 1) or p values, in this case, it could be +1 or -1

Then we have to find the values for q, which is the leading coefficient or the number that has the variable with the highest exponent, in this case, is 3.

So to find the values for q we need to find the possible multiples of 3, which could be + or -3, or + or - 1.

To find the potential zeros, we need to divide all possible p values by all q values.

Let's start:

`\begin{gathered} \pm(1)/(3)\text{ and }\pm(1)/(1) \\ \pm(1)/(3)\text{ and }\pm1 \end{gathered}`