Respuesta :
Answer:
2(x - 3)^3(x + 2)^2.
Step-by-step explanation:
The zero 3 and multiplicity 3 means the factor
(x -3)^3 is included.
The only other zero is -2 which gives us (x + 2)^2, - it must be multiplicity 2 because the equation is of the fifth degree so there must be 5 zeroes.
The leading coefficient is 2 so our function is:
2(x - 3)^3(x + 2)^2.
The polynomial function with the following properties is expressed as 3(x - 2)^2 (x + 5)^2.
What are polynomials?
Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
We need to form a polynomial expression with the following properties
fifth-degree, 3 is a zero of multiplicity 3, −2 is the only other zero and ,the leading coefficient is 2.
So,
[tex]3(x-2)^{2} (x+5)^{2}[/tex]
Since this expression satisfied the above condition.
Thus, The polynomial function with the following properties is expressed as [tex]3(x-2)^{2} (x+5)^{2}[/tex] .
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