What is the rule for this pattern?
1 answer:
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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)=
(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)=
(x-1)^2(x+2)^3