Question 907297: my homework question is
Write a polynomial f(x) that satisfies the given conditions.Polynomial of lowest degree with zeros of 5(multiplicity 2)and -3(multiplicity 2) and with f(0)=-450
I got a(x-5)2 power(x+3)2 power
im lost after that she did a example for us but i cant figure out how to do this one still
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
If the zeros are 5, 5, -3, and -3, then the polynomial function has the form \ =\ \alpha(x\ -\ 5)^2(x\ +\ 3)^2)
Since \ =\ -450) then it must be true that ^2(3)^2\ =\ -450) , which is to say 
Hence the desired polynomial has the factored form \ =\ -2(x\ -\ 5)^2(x\ +\ 3)^2) . All that is left is for you to expand the binomials, multiply the two resulting trinomials, collect like terms, and then multiply through by the lead constant term.
John
My calculator said it, I believe it, that settles it
|
|
|
