Wednesday
March 22, 2017

Post a New Question

Posted by on Wednesday, March 27, 2013 at 12:06am.

use the rational zero theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers:
f(x)=4x^4+9x^3+30x^2+63x+14

I cant even find sample problems to help me figure this out. help me please?

  • math - , Wednesday, March 27, 2013 at 7:37am

    Try roots of the form x = +/- p/q, where p is an integer factor of 14 (1,2,7,14) and q is a factor of 4 (1,2,4)

    You will have to chooose a negative value of x to get a negative or zero value of f(x). Try x = -2/1 = -2
    f(x) = 64 - 72 + 120 -126 + 14 = 0
    So x = 2 is a solution . You can get another real root by dividing
    (4x^4+9x^3+30x^2+63x+14)/(x+2)
    and solving the remaining cubic.
    The third and fourth roots are complex conjugates.

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question