Respuesta :
multiplicity is how many times each root repeats
(x-r1) where r1 is the root
root is 1 of multiplicity 2 means
(x-1)^2
root -2 multiplicity 3 means
(x+2)^3
so the function is
(x-1)^2(x+2)^3
f(x)=(x-1)^2(x+2)^3
expanded
f(x)=[tex]x^5+4x^4+3x-10x^2-4x+8[/tex]
(x-1)^2(x+2)^3
(x-r1) where r1 is the root
root is 1 of multiplicity 2 means
(x-1)^2
root -2 multiplicity 3 means
(x+2)^3
so the function is
(x-1)^2(x+2)^3
f(x)=(x-1)^2(x+2)^3
expanded
f(x)=[tex]x^5+4x^4+3x-10x^2-4x+8[/tex]
(x-1)^2(x+2)^3
To write a polynomial function of minimum degree in the standard form, you must first identify the equation and that is (x-1)^2 and (x+2)^3, then multiply it to get the standard form and the standard for for it is x^2-2x-1 and x3+6x^2+12x+16