Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.
a ±1
b ±3
c ±9
d 1/3
e 1/9
f 9/2

Using Rational root theorem

For any polynomial , ax³ + b x² + c x + d= 0,

To find the possible root , we convert the cubic equation as follows:

⇒

So, the roots will be, .

Now , the given polynomial having highest degree 4 is :

Constant Term =9

So, Possible Roots are = All integral factor of 9=

Option (a) , Option (b)  ,and Option (c) are correct options.    

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6