The highest power of a polynomial function is its degree
The degree of the polynomial function is 3
How to determine the degree of the polynomial function
From the complete question, we have the following highlights
- The polynomial crosses the x-axis at x = 1;
- The polynomial touches the x-axis (but does not cross it) at x = 4
When it crosses the x-axis, the multiplicity is 1;
When it touches the x-axis, the multiplicity is 2
Add the multiplicities, to get the degree of the function
Degree = 1 + 2
Degree = 3
Hence, the degree of the polynomial function is 3
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