Rational Root Theorem Worksheet
This worksheet provides exercises on applying the Rational Root Theorem to find possible rational roots of polynomial equations.
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Rational Root Theorem
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Read each question carefully and show all your work. Use the Rational Root Theorem to find all possible rational roots for the given polynomial equations.
1. For the polynomial P(x) = 2x³ + 3x² - 8x + 3, the possible rational roots are .
2. For the polynomial P(x) = x⁴ - 5x³ + 2x² + 20x - 24, the possible rational roots are .
3. For the polynomial P(x) = 3x³ - 7x² + 4x - 12, the possible rational roots are .
4. Find all rational roots of the polynomial P(x) = x³ - 2x² - 5x + 6.
5. Determine all rational roots of the polynomial P(x) = 2x³ + x² - 13x + 6.
6. Identify all rational roots of the polynomial P(x) = 3x³ + 10x² + 7x - 4.
7. The Rational Root Theorem provides a list of all possible real roots of a polynomial.
True
False
8. If a polynomial has a leading coefficient of 1, its possible rational roots are the factors of its constant term.
True
False