Posted by Amelie on .
I had to factor 5x^310x^2+43x6. I got 5x(x^2+2x)+3(x2). My teacher said this was half right. What did I do wrong then? Thank you!!

Algebra 
Danialle,
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Algebra 
MathMate,
Your answer expands to
5*x^310*x^2+3*x6
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 halfway, if not more, to factorizing completely. 
Algebra 
Amelie,
Yes, it is supposed to be a three, not a fourty three.

Algebra 
MathMate,
If it is a 3x and not 43x, then you only have to continue your factorization:
5x(x^2+2x)+3(x2)
=5x(x^22x)+3(x2)
=5x²(x2) + 3(x2)
=(5x²+3)(x2)
which is the correct answer.
Check:
(5x²+3)(x2)
=5x³ 10² + 3x 6 OK