Question

5.Find the polynomial function with roots 1, 7, and –3 of multiplicity 2.

Answer 1

well one such polynomial (the one with lowest degree that has 1 as a leading coefficient),

is (x - 1)^2(x - 7)^2(x + 3)^2.

mutliplying this out is a bother, but it is:

(x^2 - 2x + 1)(x^2 - 14x + 49)(x^2 + 6x + 9)

= x^6 - 10x^5 - 9x^4 + 212x^3 + 79x^2 - 714x + 441

Answer 2

So I will have to double each equation then