SOLUTION: Please help me with the problem below: Write a cubic polynomial function that approximates the sine function on the interval -3.14 < x < 3.14 and has the same x-intercepts as y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me with the problem below: Write a cubic polynomial function that approximates the sine function on the interval -3.14 < x < 3.14 and has the same x-intercepts as y       Log On


   



Question 983492: Please help me with the problem below:
Write a cubic polynomial function that approximates the sine function on the interval -3.14 < x < 3.14 and has the same x-intercepts as y = sin x on this interval.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with the problem below:
Write a cubic polynomial function that approximates the sine function on the interval -3.14 < x < 3.14 and has the same x-intercepts as y = sin x on this interval.
---------
y-intercept at 0
zeroes at -3.14,0,+3.14
f(x) = -x(x^2-3.14^2)
------
========
Cheers,
Stan H.