Question

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

Answer 1

\[f(x)=(x-1)(x-2)^2\]

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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.

Answer 6

ooooh okay thank you understand now!!

Answer 7

you're welcome. (: