Question

Find the polynomial f(x) that has the roots of –3, 5 of multiplicity 2. Explain how you would verify the zeros of f(x).

Answer 1

if it has zeros at those points, then it must have factors

(x+3)(x-5)

as if you set this equal to =

x +3 = 0 and x - 5 = 0

you will see x = -3, 5 (which was the original zeros)

and multiplicity of 2 just means it is scaled by 2

thus

2(x+3)(x-5) = f(x)

Answer 2

thank you!!!!!