The coefficient does not determine whether a function is a polynomial or not but the degree of the polynomial.
Multiplying polynomial expressions
Given the following product of the polynomial as shown below
10x^4 * 0.5x^3
Multiply the decimal and the exponent to have;
10x^4 * 0.5x^3
(10*0.5) *(x^4 * x^3)
(10*1/2) * (x^4+3)
(5)x^7
Hence the product of the given polynomial function is 5x^7
The error in Han's thinking is by assuming 0.5x^3 is not a polynomial because 0.5 is not an integer. The coefficient does not determine whether a function is a polynomial or not but the degree of the polynomial.
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