Math

Rational Zeros Calculator

List possible rational zeros from the leading and constant coefficients.

Calculated Output

Number of candidates 8

Possible rational zeros -3, -1.5, -1, -0.5, 0.5, 1, 1.5, 3

Formula: ± (factors of constant) ÷ (factors of leading)

Step-by-Step Breakdown

1. Values used:

2. Leading coefficient = 2

3. Constant term = 3

5. Number of candidates = 8

6. Possible rational zeros = -3, -1.5, -1, -0.5, 0.5, 1, 1.5, 3

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The math behind it

Any rational zero is ±p/q where p divides the constant term and q divides the leading coefficient. Test these candidates to find actual roots.

Leading 2, constant 3 → ±{1, 3, 1/2, 3/2}.

Are all candidates actual roots?

No — they're only possibilities; substitute or use synthetic division to confirm.