The polynomial (x - 2) is a factor of the polynomial 3x2 - 8x + 2.

First, let's factor  3x²-8x+2

Looking at wee can see that the first term is  and the last term is  where the coefficients are 3 and 2 respectively. 

Now multiply the first coefficient 3 and the last coefficient 2 to get 6. Now what two numbers multiply to 6 and add to the middle coefficient -8? Let's list all of the factors of 6: 

Factors of 6: 
1,2,3,6 

-1,-2,-3,-6 ...List the negative factors as well. This will allow us to find all possible combinations 

These factors pair up and multiply to 6 

1*6 
2*3 
(-1)*(-6) 
(-2)*(-3) 

note: remember two negative numbers multiplied together make a positive number 

Now, which of these pairs add to -8? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -8 

None of these pairs of factors add to -8.

So the expression 3x²-8x+2 cannot be factored.

So (x - 2) is NOT a factor of  3x²-8x+2
So the statement is false

it is not that hard all u have to do is plot the graph

step-by-step explanation: