SOLUTION: exsponets(^1) pretend what is the factored form of 9x^4-6x^3+18x^2-12x i think its 3x(3x^4-2x) but not sure can you help?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: exsponets(^1) pretend what is the factored form of 9x^4-6x^3+18x^2-12x i think its 3x(3x^4-2x) but not sure can you help?      Log On


   



Question 947450: exsponets(^1) pretend
what is the factored form of
9x^4-6x^3+18x^2-12x
i think its 3x(3x^4-2x) but not sure can you help?

Found 3 solutions by Edwin McCravy, MathLover1, MathTherapy:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

I'm afraid your answer is not correct.
Here is a step-by step solution.
9x%5E4-6x%5E3%2B18x%5E2-12x
Factor 3x out of all terms:
3x%283x%5E3%5E%22%22%5E%22%22-2x%5E2%2B6x-4%29
Factor x2 out of the first two term in parentheses
and +2 out of the last two terms in parentheses:
3x%28x%5E2%5E%22%22%5E%22%22%283x%5E%22%22-2%29%5E%22%22%2B2%283x%5E%22%22-2%29%29
Now we have a common factor of (3x-2),
so we factor it out inside the parentheses:
3x%28%283x%5E%22%22-2%29%5E%22%22%5E%22%22%28x%5E2%2B2%29%29
Now we can drop the bigger parentheses:
3x%283x%5E%22%22-2%29%5E%22%22%5E%22%22%28x%5E2%2B2%29

Answer by MathLover1(20849) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

exsponets(^1) pretend
what is the factored form of
9x^4-6x^3+18x^2-12x
i think its 3x(3x^4-2x) but not sure can you help?
Not even close!! Sorry!! 
9x%5E4+-+6x%5E3+%2B+18x%5E2+-+12x
3x%283x%5E3+-+2x%5E2+%2B+6x+-+4%29 ------ Factoring out GCF, 3x
3x(3x^3 - 2x^2 + 6x - 4)
3x%28x%5E2%283x+-+2%29+%2B+2%283x+-+2%29%29 ------ Factoring out GCF in pairs
highlight_green%283x%28x%5E2+%2B+2%29%283x+-+2%29%29