Question

Han is multiplying 10x4 by 0.5x3 and gets 5x7. He says that 0.5x3 in not a polynomial because 0.5 is not an integer. What is the error in Han's thinking? Explain your reasoning.

Answer 1

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.

Learn more on polynomial here: brainly.com/question/24380382

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