Find a polyniomial function of degree 4 with 4 as a zero of

Find a polyniomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

f(x)=?

Solution

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Polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

(x + 4)^3 (x) = 0

(x^4 + 12x^3 + 48x^2 + 64x) = 0

Solution