SOLUTION: Find the complex zeroes of the polynomial function. Write the function in factored form. Steps would be extremely helpful. 𝑓𝑥 =𝑥^4+13𝑥^2+36

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the complex zeroes of the polynomial function. Write the function in factored form. Steps would be extremely helpful. 𝑓𝑥 =𝑥^4+13𝑥^2+36      Log On


   



Question 1079208: Find the complex zeroes of the polynomial function. Write the function in factored form. Steps would be extremely helpful.
𝑓𝑥 =𝑥^4+13𝑥^2+36

Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.
x%5E4+%2B+13x%5E2+%2B+36 = (apply factoring) = %28x%5E2%2B4%29%2A%28x%5E2%2B9%29.

The zeroes for x%5E2%2B4 are the complex numbers 2i and -2i.

The zeroes for x%5E2%2B9 are the complex numbers 3i and -3i.


The full set of zeroes is {-3i, -2i, 2i, 3i}.

Solved.