Posted by **Anonymous** on Sunday, April 7, 2013 at 4:32pm.

Im not getting these answers at all, please help.

Find a formula for the fourth degree polynomial p(x) whose graph is symmetric about the y-axis (meaning it has no odd powers of x), and which has a y-intercept of 0, and global maxima at (4,512) and (−4,512).

- Calc -
**Steve**, Sunday, April 7, 2013 at 6:14pm
p has maxima at 4,-4 and is 3rd degree, so

p'(x) = ax(x^2-16)

= 4ax^3 - 64ax

p(x) = a x^4 - 32ax^2

= a (x^4 - 32x^2)

p(4) = 512, so a = -2

p(x) = -2x^4 + 64x^2

## Answer This Question

## Related Questions

- Calculus - Find a formula for the fourth degree polynomial p(x) whose graph is ...
- calculus - Find a formula for the fourth degree polynomial p(x) whose graph is ...
- calculus - fourth degree polynomial p(x) whose graph is symmetric about the y-...
- Calculus - Find the equation of a quartic polynomial whose graph is symmetric ...
- College Algebra - 1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the ...
- Pre-calc - find a possible polynomial equation of degree 4 if the zeroes are -1,...
- Pre-Calculus-check answers - The graph of the equation y=x^3-x is symmetric with...
- Pre-Calc - Could somebody please check this for me? Dtermine whether the graph ...
- Math - Fundamental Theorem - We can actually use the Zeros Theorem and the ...
- MATH TRIGONOMETRY - refer to the polynomial function f(x)= -x(x-1)(x+2) in ...

More Related Questions