Respuesta :

Set
f
(
x
)
=
0
f(x)=0.
If the polynomial function is not given in factored form:
Factor out any common monomial factors.
Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the
x
x- intercepts.
MrRoyal

A polynomial that has at least one x-intercept, will have at least one factor.

The factors of the polynomial are [tex]\mathbf{x +6}[/tex]  and [tex]\mathbf{x - 2}[/tex]

The given parameters are:

[tex]\mathbf{x-intercepts = (-6,0)\ and\ (2,0)}[/tex]

The x intercepts, represent the value of x, when the function equals 0.

So, the x values at the x-intercepts are:

[tex]\mathbf{x = -6 \ and\ x = 2}[/tex]

Set these equations to 0

[tex]\mathbf{x +6=0 \ and\ x - 2=0}[/tex]

Hence, the factors of the polynomial are:

[tex]\mathbf{x +6}[/tex]  and [tex]\mathbf{x - 2}[/tex]

Read more about factors of polynomials at:

https://brainly.com/question/12787576

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