Respuesta :
Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.
What are polynomial?
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that the {5} is the solution set of the function, therefore, we can write,
[tex]x = 5\\(x-5 )= 0[/tex]
Thus, (x-5) is one of the factors of the polynomial.
Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.
[tex](x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25[/tex]
Hence, the polynomial whose solution set is {5} is x²-10x+25.
Learn more about Polynomials:
https://brainly.com/question/17822016
