Write a possible polynomial function in factored form with roots 0, -5, and 3.
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roots :
x=0
x=-5
x=3
So, the roots make the function 0.
x=-5
0=x+5 (one term)
x=3
x-3 =0 (other term)
So far we have_
f(x)= (x+5) (x-3)
Since zero is also a root, we have to multiply both terms by x.
f(x)= x (x+5) (x-3)