Question

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

Answer 1

Answer:

B.false

Step-by-step explanation:

apexs

Answer 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 

First Number Second Number   Sum 1                            6                      1+6=7 2                           3                      2+3=5 -1                         -6                       -1+(-6)=-7 -2                        -3                       -2+(-3)=-5

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