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one factor of the function f(x) = x^3 - 9x^2 + 20x - 12 is (x-6). describe how to find the x-intercepts and the y-intercepts of the graph of f(x) without using any technology. show your work and include all intercepts in your answer.

x-intercepts are points of the form (x, 0), and y-intercepts are points of the form (0, y).

You find the x-intercepts by solving for x such that y = f(x) = 0:

You know x - 6 is a factor of f(x), which means x = 6 is a solution to the above equation, and that means that (6, 0) is one x-intercept.

You can find the other two by dividing f(x) by x - 6 (i.e. further factorizing f(x)).

So we have

and this means the x-intercepts are (6, 0), (2, 0) and (1, 0).

The y-intercept is easier to find; set x = 0, then solve for y = f(0):

and so the y-intercept is (0, -12).

x=12 units bd= 10 units

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".