Concept explainers
To find: all real zeros of the function.
The real zeros of the function
Given information:
The
Formula used:
The Rational Zero Theorem:
If
Calculation:
Consider the function
List the possible rational zeros of
Choose reasonable values from the list above to check using the graph of the function.
For
Check the values using synthetic division until a zero is found.
Factor out a binomial using the result of the synthetic division.
Write a product of factors.
Factor
Multiply the first factor by
Repeat the steps above for
The graph shows that
Until a zero is discovered, use synthetic division to check the values.
Utilizing the output of the synthetic division, factor out a binomial.
Write a product of factors.
Use the zero-product property.
Solve for
The real zeros of
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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