SOLUTION: Find the polynominal f(x) of degree three that has zeros at 1,2 and 4 such that f(0)=-16.

Question 66312: Find the polynominal f(x) of degree three that has zeros at 1,2 and 4 such that f(0)=-16.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the polynominal f(x) of degree three that has zeros at 1,2 and 4 such that f(0)=-16.
:
The 3 factors will be (x-1)(x-2)(x-4),
:
FOIL (x-1)(x-2) = x^2 -3x + 2,
:
multiply by (x-4) and you get: x^3 - 7x^2 + 14x - 8;
:
But wait, it says f(0) = -16, so last term has to be -16:
Multiply the equation by 2 (,it will not effect the zeros)
:
2x^3 - 14x^2 + 28x - 16 is the equation that satisfies all these requirements

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

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)

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 zeroes at 1, 2, and 4 such that f(0)=-16. (answered by adamchapman,Nate)

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)