What are the possible rational zeros of f(x) = x4 + 2x3 – 3x2 – 4x + 20?

Use the Rational Zeros Theorem to find all the rational zeros of a polynomial. Follow these steps: 

1) Arrange the polynomial in descending order: f(x) = x⁴ + 2x³ – 3x² – 4x + 20

2) Identify  all the factors of the constant term. These are all the possible values of p .
1 x 20 ; 2 x 10 ; 4 x 5
possible values of p: 1, 2, 4, 5, 10, 20

3) Identify all the factors of the leading coefficient. These are all the possible values of q.
leading coefficient = 1. value of q = 1

4) Identify all the possible values of p/q . Factors can be positive and negative, so,  p/q  and -p/q  must both be included. Simplify each value and cross out any duplicates.
p/q = 1/1 ; 2/1 ; 4/1 ; 5/1 ; 10/1 ; 20/1
-p/q = -1/1 ; -2/1 ; -4/1 ; -5/1 ; -10/1 ; -20/1

Possible rational zeros of f(x) = x⁴ + 2x³ – 3x² – 4x + 20  are:
± 1, ± 2, ± 4, ± 5, ± 10, ± 20 

less then 70%

Step-by-step explanation:

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