Using the rational root theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12? -4/5 and 3/4 -4/5 and -3/4 -1, -4/5, 3/4 and 1 -1. -4/5, -3/4 and 1

Option 1 is correct.

Step-by-step explanation:

The given polynomial is

we have to find  all the rational roots of the polynomial f(x)

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number i.e in the form of

where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

So, the all possible rational roots of the given polynomial are,

Now, the rational roots of polynomial satisfy the given polynomial

Hence, rational root.

rational root

not a rational root.

hence, option 1 is correct

The first option

Step-by-step explanation:

Right on edg:)