Question

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

Answer 1

(x+2)(x-3) idk

Answer 2

can ne1 help?

Answer 3

Which one is of multiplicity 2? \(-2\) or \(3\)?

Answer 4

Or are they both of multiplicity 2?

Answer 5

im pretty sure it's both

Answer 6

Square what you have and, presto! It's correct.

Answer 7

Multiplicity just means "occurs \(x\) times as a root" (where \(x\) is the multiplicity).

Answer 8

so (x+2)^2 (x-3)^2?

Answer 9

Yup.

Answer 10

thank you!

Answer 11

You're welcome! Have a good day now.