To show : the given polynomial has a zero between
Explanation of Solution
Given information :
The polynomial:
Formula used :
Intermediate-Value Theorem:
If P is a polynomial function with real coefficients, and m is any number between P (a) and P ( b ), then there is at least one number c between a and b for which P ( c ) = m .
Proof :
As per the problem,
Consider the given polynomial:
For
For
As
Make a table for
The table of values above, shows that the negative root is between
So, the polynomial
Chapter 8 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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