To find: All zeros of the polynomial function.
The required function would be
Given information:
A polynomial function:
Formula used:
As per Rational Zero Theorem, the possible rational zeros for any function with integer coefficients can be obtained by dividing factors of leading coefficient of highest degree term with factors of the constant term as:
Calculation:
To get the polynomial which has 16 possible rational zeros, find a function whose leading coefficient and constant terms have 16 possible factors in the form
Take function
Factors of 1 are
Upon graphing the function, the required graph would look like as shown below:
It can be seen that the graph never crosses the x -axis, so there will be no real solutions for the function.
Therefore, the required function would be
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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