Question

Polynomials with the same roots can have different graphs.

A. True
B. False

Answer 1

no wait it's true

Answer 2

Consider y = x-2 and y = 2x-4. They have the same roots, but one is a multiple of the other.

Answer 3

\[P_1(x)=\color\red{a}(x-x_1)(x-x_2)...(x-x_n)\]\[P_2(x)=\color\red{b}(x-x_1)(x-x_2)...(x-x_n)\]