Question

According to the rational root theorem, which statement about f(x)=66x^4-2x^3+11x^2+35 is true?

Answer 1

Option (1)

Explanation:

If a polynomial is given in the form of f(x) = ax³ + bx² + c

By rational root theorem rational roots of the given polynomial will be,

x =
`\frac{\pm \text{Factors of c}}{\pm \text{Factors of a}}`

Given polynomial in the question is,

f(x) = 66x⁴- 2x³ + 11x²+ 35

Possible rational roots will be,

x =
`\frac{\pm \text{factor of 35}}{\pm \text{Facors of 66}}`

Therefore, Option (1) will be the answer.