Question

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Answer 1

Answer:

  (a)  ±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4

Step-by-step explanation:

The leading coefficient is 9; the constant is 4. The rational roots will be ...

  ±(divisor of 4)/(divisor of 9)

The divisors of 4 are 1, 2, 4. The divisors of 9 are 1, 3, 9. Then the rational roots can be any of ...

  ±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4