Form a polynomial whose zeros and degree are given.
Zero: 1, Multiplicity 1; 2, Multiplicity 2; degree 3
f(x)=________________

Question

Form a polynomial whose zeros and degree are given.
Zero: 1, Multiplicity 1; 2, Multiplicity 2; degree 3
  f(x)=________________

anonymous · Answer

$$f(x)=(x-1)(x-2)^2$$

anonymous · Answer

Wait, you Multiplicities are confusing. Which ones do you want?

anonymous · Answer

because $$(x-a)$$ gives you the zero a. I think this is what they want you to do.

anonymous · Answer

okay! but would the degree but in the front?  3(x-a)(x-2)^2

anonymous · Answer

degree is the exponent of a function. In this case, since there are 3 'x's multiplied by each other, then there is a degree of 3. what you just did created a coefficient of 3.

anonymous · Answer

ooooh okay thank you understand now!!

anonymous · Answer

you're welcome. (: