Question

Han is multiplying by and gets . He says that is not a polynomial because 0.5 is not an integer. What is the error in Han’s thinking? Explain your reasoning.

Answer 1

Step-by-step explanation:

Han is multiplying10x^4 by 0.5^3 and gets 5x^7 is not a polynomial because 0.5 is not an integer. What is the error in han’s thinking explain

On multiplying 10x⁴ by 0.5x³,

$10x^4\times 0.5x^3=(10\times 0.5)x^{4+3}\\\\=5x^7$

A polynomial is a combination of coefficients and variables. It is made up of one or more monomial. Han says that it is not a polynomial because 0.5 is not an integer. The statement is false. After multiplication we get 5x⁷. It has a variable x and constant 5. Hence, its is a polynomial.