I need to write a polynomial of the smallest degree with roots 5 and 6 and the answer can't have parentheses. Can someone point me in the right direction. I have several of these to do.

Answer 1

(x-5)(x-6)=f(x)
x^2-11x+30=f(x)

Answer 2

I came up with (x+5)(x+6) = 0
x^2 - 11x + 30 = 0

Would that also be correct?

Thank you for helping

Answer 3

I can answer my own question-NO yours makes more sense. Its the first day of these so I'm still alittle confused. Thank you for helping