Question

Write a polynomial function h in standard form that has 3 and -5 as zeros of multiplicity 2.

Answer 1

the roots must be (x-3)^2 and (x+5)^2

That is (x2-6x+9) (x^2+10x+25)

That is

x^4+10x^3+25x^2-150x+225

-6x^3-60x^2+90x

+9x^2

===

x^4+4x^3-26x^2-60x+225