Potential rational roots for the given function
[tex]+1,-1,+2,-2,+3,-3, \frac{1}{3} , - \frac{1}{3}. \frac{2}{3},- \frac{2}{3}[/tex]
Given :
Function [tex]f(x)=3x^2-x-4[/tex]
To find possible rational roots we use rational root theorem ,
Lets take ratio of factor of p and q.
p is the constant and q is the leading coefficient
p=4 and q=3
Factors of P are ±[tex]1,2,4[/tex]
Factor of q are ±[tex]1,3[/tex]
Now make a fraction p/q
±[tex]\frac{1,2,4}{1,3}[/tex]
Potential rational roots are
[tex]+1,-1,+2,-2,+3,-3, \frac{1}{3} , - \frac{1}{3}. \frac{2}{3},- \frac{2}{3}[/tex]
Learn more : brainly.com/question/13615904
