Answer to Question #349050 in Calculus for Mapula Advice

Question #349050

Which of the following is part of the set of all possible rational zeros of



f(x)=2x4−x3+6x2−5x−8?



1
Expert's answer
2022-06-08T17:51:48-0400

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 8.-8.

Find its factors: ±1,±2,±4,±8.\pm1, \pm2, \pm4,\pm8.

These are the possible values for p.p.

The leading coefficient is 2.2.

Find its factors: ±1,±2.\pm1, \pm2.

These are the possible values for q.q.

Find all possible values of f/q:±11,±12,±21,±22,±41,±42,±81,±82.f/q: \pm\dfrac{1}{1}, \pm\dfrac{1}{2},\pm\dfrac{2}{1},\pm\dfrac{2}{2},\pm\dfrac{4}{1},\pm\dfrac{4}{2},\pm\dfrac{8}{1},\pm\dfrac{8}{2}.

Simplify and remove the duplicates (if any).

These are the possible rational roots: ±1,±12,±2,±4,±8.\pm1, \pm\dfrac{1}{2}, \pm2, \pm4,\pm8.  



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment