Which of the following are roots of the polynomial function below f(x)=2x^3-x^2-9x+6

The roots of the given polynomial are

Step-by-step explanation:

Given : Polynomial

To find : The roots of the given polynomial?

Solution :

Using hit and trial method one of the root of the polynomial is 2 as 2 satisfy the given polynomial equating zero.

Let x=2 substitute in polynomial,

So, One the root is 2.

Now, We divide the by (x-2) to get the remainder in quadratic form by long division method.

The remainder is

Now, we factor the quadratic equation by using quadratic formula,

General form -

Solution is  

Equation is  

where, a=2 , b=3, c=-3

Solution is

Therefore, The roots of the given polynomial are

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation: