What can a translation of y=x-e do to bring a

Rachael Velasquez

Rachael Velasquez

Answered question

2022-04-17

What can a translation of y=xe do to bring a polynomial into a depressed form?

Answer & Explanation

Kaitlynn Craig

Kaitlynn Craig

Beginner2022-04-18Added 13 answers

A general answer could be : having one term less, one has one parameter less to cope with.
Let us give an illustration. Let us consider the general 3rd degree polynomial:
x3+ax2+bx+c
vs. its depressed form, traditionaly written:
x3+px+q
In the first case, the discriminant is
a2b2+18abc4b34a3c27c2
whereas in the second case it is plainly:
(4p3+27q2).
(Let us recall that the sign of the discriminant of a third degree polynomial indicates if it has 1 or 3 real roots).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?