SOLUTION: Hi, I am having trouble with an assignment and am not sure on how to start it. I tried to factor, but I got lost. Consider a cubic polynomial {{{ q(x) = ax^3 + bx^2 + cx + d

Question 1068067: Hi,
I am having trouble with an assignment and am not sure on how to start it. I tried to factor, but I got lost.
Consider a cubic polynomial ,
(a not equal to 0), and assume that it has three roots x1, x2, x3. Show that the following hold: (Hint: Rewrite q(x) in terms of its three roots.)
x1 + x2 + x3 = - b/a
x1x2 + x1x3 + x2x3 = c/a
x1 x2 x3 = - d/a
Thank you very much.
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.
Read this Wikipedia article:

https://en.wikipedia.org/wiki/Vieta's_formulas

https://en.wikipedia.org/wiki/Vieta's_formulas

You will find there the answers to all your questions.

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