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stusullivanriley
06.10.2019 •
Mathematics
If f(x) = ax^6 + bx^4 + cx^3 where a,b, and c are integers, how many distinct rational zeros could f(x) have
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Ответ:
You can rewrite your function as
This implies that
Now, we have
, so it counts as a solution.
On the other hand, depending on the coefficient a, b and c, the cubic equation
can have either one or three solutions.
So, we have the solution x=0, and then one or three solutions coming from the cubic part. The equation as a whole thus have either two or four solutions, depending on the coefficients.
Ответ:
a
Step-by-step explanation: