Question

I don’t seem to get these right, I’m afraid I need a whole explanation.

Answer 1

Step-by-step explanation:

We are given the polynomial function;

`f(x)=2x^5-5x^3+12`

A zero of a function is a factor of that function such that when used as the input value results in zero.

To illustrate;

If

`(x-1)`

is a factor of a function, then;

`x=1`

Means when 1 is inputed into the function the function results into zero.

We shall take the options one after the other to determine which is not a zero of the function;

`\begin{gathered} For; \\ x=(5)/(2) \\ f(x)=2((5)/(2))^5-5((5)/(2))^3+12 \end{gathered}`
`=2((3125)/(32))-5((125)/(8))+12`
`(3125)/(16)-(625)/(8)+12`
`(3125)/(16)-(1250)/(16)+12`
`(1875)/(16)+12\\e0`

ANSWER:

This means 5/2 is not a possible zero of this polynomial