Question

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18

Answer 1

Explanation:

USING RATIONAL ROOT THEOREM:

a = ±2

Factors of a are ±1 ,±2

For the constant term

c= ±18

The factors of c are ±1,±2,±3,±6,±9 and ±18

THE POSSIBLE ZEROES ARE GIVEN BY

c/a=(±1,±2,±3,±6,±9,±18)/(±1 ,±2)

Therefore, the possible zeroes are

±1,±2,±3,±6,±9,±18,±1/2,±3/2,±9/2