SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x)=x^4+13x^2+36 Mult choice answers: A) f(x)=(x+i)(x-i)(x+6i(x-6i) B) f(x)=(x+2i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x)=x^4+13x^2+36 Mult choice answers: A) f(x)=(x+i)(x-i)(x+6i(x-6i) B) f(x)=(x+2i      Log On


   

Question 621727: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x)=x^4+13x^2+36

Mult choice answers:
A) f(x)=(x+i)(x-i)(x+6i(x-6i)
B) f(x)=(x+2i)^2(x+3i)^2
C) f(x)=(x+2+3i)^2(x+2-3i)^2
D) f(x)=(x+2i)(x-2i)(x+3i)(x-3i)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x)=x^4+13x^2+36    || Let X = x^2

f(X) = X^2 + 13X + 36

X+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

X+=+%28-13+%2B-+sqrt%28+169-144+%29%29%2F%282%29+

X+=+%28-13+%2B-+sqrt%28+25+%29%29%2F%282%29+

X+=+%28-13+%2B-+5%29%2F%282%29+

   X = -9 or X = -4

   x^2 = -9

   x = ± 3i

   x^2 = -4

   x = ± 2i

D) f(x)=(x+2i)(x-2i)(x+3i)(x-3i)