Question 133276: Write a polynomial function of least degree that has real coefficients, the given zeros and a leading coefficient of 1
18. 1,-3,4
19. 2,2,-1,0
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! If a polynomial has n zeros, it must be of degree n. (Fundamental Theorem of Algebra). Also, if a is a zero of a polynomial equation, then  must be a factor of the polynomial.
So, for problem 18, you have three zeros, so you must have three binomial factors that will expand to a 3rd degree polynomial.
Do the other problem the same way, except that you have 4 zeros, so you will have 4 factors and a 4th degree polynomial at the end.
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