List all possible rational zeros for the function fox 6x 5x

List all possible rational zeros for the function fox) 6x 5x 7x 2

Solution

f(x) = 6x^4 +5x^3-7x^2+2

to find possible rational zeros of the function

possible rational roots of the function occur at factors of p/q

where p is the constant term and q is teh coefficient of leading term

therefore, factors of 2 are +- { 1 , 2 }

factors of 6 are + - { 1,2,3,6 }

so possible rational roots are

+- { 1 , 1/2 , 1/3 , 1/6 , 2 , 2/3 }

+ 1 , -1 , + 1/2 , - 1/2 , + 1/3 , - 1/3 , + 1/6 , -1/6 , +2 , -2 , +2/3 , - 2/3