SOLUTION: A certain polynomial function f(x) of degree 2 has zeroes at -3 and 5, and f(2)= -30. What is the polynomial function f(x)?

Question 973299: A certain polynomial function f(x) of degree 2 has zeroes at -3 and 5, and f(2)= -30. What is the polynomial function f(x)?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
(x+3)=0 zero at -3
(x-5)=0 zero at 5
(x+3)(x-5)=0 for f(2)=-30, let a be variable to adjust to -30:
a(2+3)(2-5)=-30
a(5)(-3)=-30
a(-15)=-30
a=2
The entire equation:

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