The ________ of ________ states that if
Answer to Problem 1E
Fundamental theorem, algebra
Explanation of Solution
The fundamental theorem of algebra states that if
For example, consider a polynomial function
Finding the roots of above polynomial function,
The leading coefficient of given polynomial is 1 and the constant term is 34.
So, possible rational zeros are:
Using synthetic division to check whether
Here, remainder is 0. So,
So,
Now, consider
The above polynomial function is a second degree polynomial.
So, zeroes of a second degree polynomial can be found using the formula
Therefore, the zeros of given polynomial function are
Here, the polynomial has 2 complex zeros in complex number system.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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