SOLUTION: Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the given conditions. zero of 2 and zero of 4 having multiplicity 2; f(1)=-18

Question 1029942: Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the given conditions.
zero of 2 and zero of 4 having multiplicity 2; f(1)=-18
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Zeros are 2 and 4 and 4 again.

, which takes care of the zeros.

, and then seems your choice to multiply through by k or not.

Finding k should be easier using the fully factored form.

Now you can multiply through using k=2.

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