Thread: Polynomial of nth degree that includes zeroes

Find a polynomial f(x) of degree 6 such that 0,3 are zeroes of multiplicity 3 and f(2) = -24. Write the polynomial in decreasing order of exponents.

How do I do the above? What does it mean by zeroes of multiplicity 3???

Originally Posted by mwok

Find a polynomial f(x) of degree 6 such that 0,3 are zeroes of multiplicity 3 and f(2) = -24. Write the polynomial in decreasing order of exponents.

How do I do the above? What does it mean by zeroes of multiplicity 3???

Multiplicity means the power it is raised to. So we have that



Now to find A we use our conditino



So your function is