SOLUTION: Find the polynmial f(x) of degree three that has zeroes at 1, 2 and 4 such that f(0)=-16. <p> I think it should be f(x)=d(x-1)(x-2)(x-4) so d(0-1)(0-2)(0-4) = f(0) = -16 So -6d

Question 16798: Find the polynmial f(x) of degree three that has zeroes at 1, 2 and 4 such that f(0)=-16.

I think it should be f(x)=d(x-1)(x-2)(x-4) so d(0-1)(0-2)(0-4) = f(0) = -16
So -6d = -16
d = 8/3

I'm not sure if I'm right so far and not when I plugged things in to the equation above I didn't get anything remotely right. Please help.
Thanks
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
It looks like you did it right. There is just one very small error in your solution:

I think it should be f(x)=d(x-1)(x-2)(x-4) so d(0-1)(0-2)(0-4) = f(0) = -16
So -6d = -16
d = 8/3

How about -8d = -16??
d= 2!!

RELATED QUESTIONS
Find the polynomial f(x) of degree three that has zeroes at 1.2 and 4 such that f(0) =... (answered by Nate,AnlytcPhil)

find the polynomial f(X) of degree three that has zeroes at 1,2 and 4 such that f(0)=... (answered by stanbon)

FIND THE POLYNOMIAL f(x) OF DEGREE THREE THAT HAS ZEROES AT 1,2, AND 4 SUCH THAT... (answered by uma,Nate)

Find the polynomial f(x) of degree three that has zeroes at 1,2, and 4 such that f(0)=... (answered by bucky)

PLEASE HELP ME WITH THIS PROBLEM: Find the polynominal f(X) of degree three that has... (answered by Edwin McCravy)

Find thye polynomial f(x) of degree three that has zeroes at 1,2 and 4 such that f(0)=... (answered by stanbon)

Find the polynomial f(x) of degree three that has zeroes at 1,2, and 4 such that... (answered by stanbon)

Find the polynomial f(x) of degree three that has zeroes at 1,2, and 4 such that... (answered by AnlytcPhil)

Find the polynomial f(x) of degree three that zeroes at 1, 2, and 4 such that f(0)=-16. (answered by adamchapman,Nate)