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
Algebra ->
Polynomials-and-rational-expressions
-> 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
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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(52794) (Show Source):