Question

Factoring Question. [MEDAL FOR BEST ANSWER.♥ Thanks in Advance.]

Answer 1

\[4x ^{3}-12x ^{2}+8x=0\]

Answer 2

First, look at all terms and try to factor the largest factor possible.

Answer 3

x=0,1

Answer 4

What is the largest common factor in 4, 12, and 8?

Answer 5

4.

Answer 6

Good. What is the largest common factor in x^3, x^2 and x?

Answer 7

X.
\[4x(x^{2}-3x+2)=0\]?

Answer 8

Great. Next step is to try to factor the trinomial in parentheses.
It is of the form
x^2 + bx + c
You write two sets of parentheses with x on left side:
(x )(x )

Answer 9

What goes in right side of parentheses is 2 numbers that multiply to b and add to c.
In your case, you need two numbers which multiply to 2 and add to -3

Answer 10

What two numbers have a product of 2 and a sum of -3?

Answer 11

Okay... (x-2)(x-1)?

Answer 12

OHH. So then it would be, 0,1, and 2?

Answer 13

Correct, so the complete factorization is:
4x(x-2)(x-1)

Answer 14

0, 1, and 2 are what x is equal to if you set the original trinomial equal to zero and solve the equation for x.

Answer 15

Thank you! c'; *Tears Up* So helpful...

Answer 16

cx

Answer 17

you're very welcome