This question is according to the rational zero theorem.

Question

Which of the following are possible roots of the given polynomial: p(x)= 3x^4+5x^3+bx^2+cx+5

The choices are:

-5/3

-3

-1

5

3/5

-1/3

Answer 1

You possible roots is in the form factors of constant/factors of leading coefficient.

A. so your constant is 5: the factors of 5 are 1, 5, -1, -5

B. the coefficient of the leading term is 3: the factors of this are 1, 3, -1, -3

so SOME of the possible roots is 1/1, 1/3, 1/-1, etc. which ones in the given options cannot be expressed as a number from group A/ a number from group B?