f(x)= 3x^4-3x^3+x^2-x+1----- Find maximum number of real zeroes, then list potential rational zeroes. Can anyone help?

Question

f(x)= 3x^4-3x^3+x^2-x+1-----> Find maximum number of real zeroes, then list potential rational zeroes. Can anyone help?

anonymous · Answer

@Austin1617 @Michele_Laino @Kainui @mathstudent55 @Directrix @triciaal

campbell_st · Answer

the maximum number of zeros is equal to the degree of the polynomial.

campbell_st · Answer

then use the rational root theorem to list them... 

so find the factors of the constant... call them q

find the factors of the coefficient of the leading term, call them p

then the possible rational roots are q/p

hope it helps