SOLUTION: what polynomial with a degree of 4 has zeros with multiplicity 1 at x=-2 and x=2 and a zero with multiplicity 2 at x=0 and f(1)=2

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Question 603315: what polynomial with a degree of 4 has zeros with multiplicity 1 at x=-2 and x=2 and a zero with multiplicity 2 at x=0 and f(1)=2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

polynomial with a degree of 4 has zeros at x=-2, x= 2  and  x=0 (two) 

f(x) = a(x+2)(x-2)(x-0)(x-0)

f(x) = ax^2( x^2 - 4)

f(1) = -3a = 2

        a = (-2/3)

f(x) = (-2/3) x^2( x^2 - 4)