To calculate : Therational root of the given function.
The given polynomial function has four rational roots and are given by
Given information :
The function is
Formula Used:
Rational Root Theorem: For a given polynomial with integer coefficients, the rational roots will be in form of
Calculation :
Given polynomial function:
Find the possible rational roots.
Determine the integer factor of the constant term
Find the integer factor of the leading coefficient
Determine the list of rational roots that will be in reduced form of
Apply the synthetic division method to test the roots.
Here, the rational root is given by
Solving further,
Here, the rational root is given by
Solving further,
Here, the remainders are not equal to zero, so
Solving further,
Here, the rational root is given by
Solving further,
Here, the remainders are not equal to zero, so
Find the product of the factors
Apply long division method to divide the polynomial
Now,
So, the other two rational roots are
Hence, the given polynomial function has four rational roots and are given by
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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