Question 91367This question is from textbook algebra and trigonometry
: solve the following equation. i tryed to do some but once again i got stuck and im not sure how to finish this, can someone show me please?
x^3 + 5x^2 = 6x
x^3 + 5x^2 - 6x = 0
x(x^2 + 5x - 6) = 0
then i got stuck because the next step is to factor the polynomial then use the zero-product property, solve, then check
This question is from textbook algebra and trigonometry
Answer by kev82(151)   (Show Source):
You can put this solution on YOUR website! Hi,
(I've corrected the maths in your question)
Unfortunately, factoring quadratics is something that comes with practice. If you do lots, you will eventually just be able to see the answer. If you have a quadratic  and you want to factor it, then you are looking for 2 numbers p, and q that multiply to c, and add up to b.
In this example we need p and q to multiply to -6, and add up to 5. p=6, and q=-1 seem like a good choice. If you expand  you will in fact see that is the correct choice.
Hopefully you can continue from there.
Kev
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