Respuesta :

ifthe roots are r1 and r2
then the factored form is
a(x-r1)(x-r2)
so

and multpilcty is how many times the root repeats
P(x)=(x-0)^4(x-2)^3(x-(-1))^2

so the roots are 0 multipilcty 4, 2 mupliticty 3, -1 multplity 2

Answer:

A) 0, multiplicity of 4; 2, multiplicity of 3; −1, multiplicity of 2

Step-by-step explanation:

To find the zeros:

Set each factor equal to zero and solve for x. The zeros are 0, 2, and −1.

The exponent for each factor tells the multiplicity of the zero.

[tex]x^{4}[/tex], 0 has a multiplicity of 4

[tex](x-2)^3[/tex], 2 has a multiplicity of 3

[tex](x+1)^2[/tex], −1 has a multiplicity of 2