Posted by James on Wednesday, October 10, 2012 at 12:39am.
Use the given zero to find the remaining zeros of the function:
h(x)=x^415x^3+55x^2+155x1476 Zero:54i
I multiplied [x(54i)][x(5+4i)] and got x^210x+9.
The example I have says to divide that by h and get a second quadratic equation that is also a factor of h. I have to use that equation to find the remaining zeros. How do I find the second equation?

Precalc  Reiny, Wednesday, October 10, 2012 at 12:54am
(x(54i))(x(5+4i))
= (x5+4i)(x5  4i)
= x^2  5x  4ix  5x + 25 + 20i + 4ix 20i  16i^2
= x^2  10x + 41
now divide x^415x^3+55x^2+155x1476 by x^2  10x + 41 to get
x^2  5x  36
(Google " long algebraic division" if you don't know how to do that)
now solving this quadratic:
x^2  5x  36 = 0
(x9)(x+4) = 0
x = 9, or x = 4
Answer This Question
Related Questions
 Pre Calc (For Reiny)  Thanks so much your method worked perfectly! My solution ...
 Pre Calc  I am familiar with this type of problem but can't seem to get the ...
 college algebra  use the given zero to find the remaining zeros of the function...
 algebra  use the given zero to find the remaining zeros of the function h(x)=x...
 to your reply, please check again  that should of said Zero: 5  3 i for the ...
 precal  use the given zero to find the remaining zeros of the function. h(x)=x...
 Algebra  Use the given zero to find the remaining zeros of the function. f(x)=x...
 use the given zero  Use the given zero to find the remaining zeros of the ...
 calculus  use the given zeros to find the remaining zeros of the function h(x)=...
 college algebra  use the given zero to find the remaining zeros of each ...
More Related Questions