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

Does the multiplicity of two affect both roots or only the 3? I can't tell from the wording

Answer 2

P(x)=(x+2)^2(x-3)^2

Answer 3

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).
Im not really sure, that's just what the problem looks like, sorry !

Answer 4

is that the answer ? @myko

Answer 5

if bouth are multiplicity 2, yes.

Answer 6

just perform the multiplication

Answer 7

(x+2)(x+2)(x-3)(x-3)=?

Answer 8

x^4 - 2x^3 - 11x^2 + 12x +36

Answer 9

is that right ?

Answer 10

@myko

Answer 11

That should be \(x^4+2x^3-11x^2-12x+36\) — looks like you got a sign wrong somewhere (or maybe you just mistyped it here).