Posted by Amelie on .
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!!
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Your answer expands to
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.
Yes, it is supposed to be a three, not a fourty three.
If it is a 3x and not 43x, then you only have to continue your factorization:
=5x²(x-2) + 3(x-2)
which is the correct answer.
=5x³ -10² + 3x -6 OK