Posted by **Amelie** on Tuesday, September 22, 2009 at 5:39pm.

I had to factor 5x^3-10x^2+43x-6. I got 5x(x^2+-2x)+3(x-2). My teacher said this was half right. What did I do wrong then? Thank you!!

- Algebra -
**Danialle**, Tuesday, September 22, 2009 at 6:01pm
CHECK THIS Ihh.tutor

- Algebra -
**MathMate**, Tuesday, September 22, 2009 at 6:37pm
Your answer expands to

5*x^3-10*x^2+3*x-6

Could you check the question if the coefficient is not 3x instead of 43x.

The expression as in the qustion has no rational factors, so there is probably a typo somewhere.

Yes, your answer is half-way, if not more, to factorizing completely.

- Algebra -
**Amelie**, Tuesday, September 22, 2009 at 9:16pm
Yes, it is supposed to be a three, not a fourty three.

- Algebra -
**MathMate**, Tuesday, September 22, 2009 at 10:10pm
If it is a 3x and not 43x, then you only have to continue your factorization:

5x(x^2+-2x)+3(x-2)

=5x(x^2-2x)+3(x-2)

=5x²(x-2) + 3(x-2)

=(5x²+3)(x-2)

which is the correct answer.

Check:

(5x²+3)(x-2)

=5x³ -10² + 3x -6 OK

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