Question

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

Answer 1

ok... so given the roots you know the factors are

(x -1)(x -7)(x +3)

multiplicity of 2 means that the last factor is squared.

so the polynomial is

\[P(x) = a(x -1)(x-7)(x+3)^2\]

a is just a number factor... you can assume its 1 and simplify the polynomial...

or leave it outside the distributed version of the polynomial.