Answer:
Answer in Explanation
Step-by-step explanation:
His reasoning is wrong. We can evaluate the validity of his reasoning by looking at the basics of what a polynomial is.
In the real sense of it, what makes a polynomial a polynomial is the power to which the variable is raised and not the integer attached to the variable.
In this case, we do not even have an integer attached.
What makes a polynomial a polynomial is that the variable is raised to an exponent or power which is a positive whole number ( integer)
In this case, while x^2 is a polynomial, x^-2 is not and also x^1/2 is not
Only x^2 is qualified as a polynomial because it is the only expression having its powers in positive integers
Hence; 0.5x^2 is a polynomial since it is raised to a positive whole number (integer)
Polynomials combine variables, constants and exponents.
Han's claim is incorrect
The product is given as:
[tex]\mathbf{10x^4 \times 0.5x^3 = 5x^7}[/tex]
From the question, we understand that:
Han says [tex]\mathbf{0.5x^3 }[/tex] is not a polynomial.
This is wrong because the exponent of [tex]\mathbf{0.5x^3 }[/tex] is a whole number.
And as such, [tex]\mathbf{0.5x^3 }[/tex] is a valid polynomial
Read more about polynomials at:
https://brainly.com/question/11536910
