# Algebra

posted by Amelie

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!!

1. Danialle

CHECK THIS Ihh.tutor

2. MathMate

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.

3. Amelie

Yes, it is supposed to be a three, not a fourty three.

4. MathMate

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)
Check:
(5x²+3)(x-2)
=5x³ -10² + 3x -6 OK

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