2 years ago

Find a polynomial function of degree 5 with -3 as a zero of multiplicity 3, 0 as a zero of multiplicity 1, and 3 as a zero of

multiplicity 1.

1 answer:

3 0

$(x+3)^3\cdot x\cdot (x-3)=(x^3+9x^2+27x+27)\cdot (x^2-3x)=\\=x^5-3x^4+9x^4-27x^3+27x^3-81x^2+27x^2-81x=\\=x^5+6x^4-54x^2-81x$

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