SOLUTION: Find all the Zeros of the function and write the polynomial as a product of linear factors. f(x)= x^4 + 13x^2 + 36

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all the Zeros of the function and write the polynomial as a product of linear factors. f(x)= x^4 + 13x^2 + 36      Log On


   

Question 135565: Find all the Zeros of the function and write the polynomial as a product of linear factors.
f(x)= x^4 + 13x^2 + 36
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x^4 + 13x^2 + 36=0
(x^2+9)(x^2+4)=0
.
x^2=-9
x=+-sqrt(-9)
=3i
=-3i
.
x^2=-4
x=+-sqrt(-4)
=2i
=-2i
.
Ed