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

I don’t seem to get these right, I’m afraid I need a whole explanation.-example-1
User Will Lovett
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1 Answer

18 votes
18 votes

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

User Pulkit Gupta
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