Math Problem Statement
For each polynomial function below:
(i) Use the Rational Roots Theorem to find all the possible rational zeros.
(ii) Use Descartes' Rule of Signs to find the number of possible positive and negative zeros.
(iii) Find all the roots of the function. Write in factored form.
a) f(x) = 2x^3 - 3x^2 - 18x - 8
b) g(x) = 3x^3 + 11x^2 + 8x - 4
c) h(x) = 4x^4 + 8x^3 + 19x^2 + 32x + 12
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Roots of Equations
Factoring
Formulas
Rational Roots Theorem
Descartes' Rule of Signs
Theorems
Rational Roots Theorem
Descartes' Rule of Signs
Suitable Grade Level
Grades 10-12
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