When factored completely, the expression 3x? – 9x + 6
equivalent to
is

Step-by-step explanation:

The given quadratic expression is

3x² - 9x + 6

Dividing each term in the expression by 3 in order to simplify it further, it becomes

x² - 3x + 2 = 0

We would determine two numbers such that their sum or difference is -3x and their product is 2x².

The two numbers are - 2x and - x.

Therefore,

x² - 2x - x + 2

x(x - 2) - 1(x - 2)

(x - 1)(x - 2)

When the expression is factored completely, it is equivalent to

(x - 1)(x - 2)

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)