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The product of [tex](x - 8)^2[/tex] is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.
What is a Polynomial Equation?
The equations developed with variables, exponents, and coefficients exists named polynomial equations. It can include various exponents, where the higher one stands named the degree of the equation.
Closure property under multiplication notes that any two rational numbers' outcome will be a rational number, i.e. if a and b exist in any two rational numbers, ab will also be a rational number.
Example: (3/2) × (2/9) = 1/3.
The product of [tex]$(x - 8)^2[/tex]
Simplifying the equation as (x − 8)(x − 8)
Apply Perfect Square Formula, and we get
[tex]$(a-b)^{2}=a^{2}-2 a b+b^{2}$[/tex]
[tex]${data-answer}amp;(x-8)^{2}=x^{2}-2 x \cdot 8+8^{2} \\[/tex]
[tex]${data-answer}amp;=x^{2}-2 x \cdot 8+8^{2}[/tex]
Simplifying the above equation, we get
[tex]$x^{2}-2 x \cdot 8+8^{2}=x^{2}-16 x+64 \\[/tex]
[tex]${data-answer}amp;=x^{2}-16 x+64[/tex]
This is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.
To learn more about polynomial equations refer to:
https://brainly.com/question/10532996
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