Question

Part 1: Find the polynomial f(x) that has the roots of –3, 5 of multiplicity 2.

Part 2: Explain how you would verify the zeros of f(x).

Answer 1

if the root is a with multiplicity b :

\[\left( x-a \right)^{b}\]

Answer 2

how would you verity the zeros?

Answer 3

plug in –3 and see if the poynomial turns to zero.