Which diagram shows the x method being used correctly to factor the trinomial 2x2 – 3x + 1?

Factoring trinomial is a little bit easy, you should know how to factor numbers. 

So let’s start

2x^2 – 3x +1 

The factors are (2x-1) and (x – 1)

Just get the 2nd constant which is -3 and put it in the top of the X.

Next just multiply the first and third constant on the given equation so you will get 2 then put it in the bottom of the X.

Get the factor of 2 it is only one which is 2 and 1 then by knowing the sign look at the 2nd term of the given equation and it is negative 3 so you will come up with the answer -2 and -1.

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: