Question #6449707Fill in the Blank
Algebra-2
Question
Given the polynomial , the possible rational roots are , ____ and ____.
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's understanding of the Rational Root Theorem and their ability to list all possible rational roots for a given polynomial.
This problem evaluates the student's understanding of the Rational Root Theorem and their ability to list all possible rational roots for a given polynomial.
Key Concept Explanation
The Rational Root Theorem states that any rational solution, expressed in lowest terms, of the polynomial equation , where all coefficients are integers, must be a factor of the constant term divided by a factor of the leading coefficient .
The Rational Root Theorem states that any rational solution, expressed in lowest terms, of the polynomial equation , where all coefficients are integers, must be a factor of the constant term divided by a factor of the leading coefficient .
Step-by-step Solution
1. Identify the constant term and the leading coefficient: and .
2. List the factors of the constant term: .
3. List the factors of the leading coeffi...
1. Identify the constant term and the leading coefficient: and .
2. List the factors of the constant term: .
3. List the factors of the leading coeffi...
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