Form a polynomial whose zeros and degree are given.

Question

Zeros: 5

Multiplicity: 1 ; 3, Multiplicity: 2

Degree: 3

Answer 1

(x-5)(x-3)^2 = (x-5)(x^2-6x+9)=

x^3 -11x^2 +39x -45

just take each zero, change its sign, then stick an x in front of it

to get the factors. If it's multiplicity 2, then raise the factor to the 2 power