SOLUTION: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x3 + 4x2 + 9x + 36

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x3 + 4x2 + 9x + 36       Log On


   

Question 1166003: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = x3 + 4x2 + 9x + 36


Answer by ikleyn(52805) About Me  (Show Source):
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      x3 + 4x2 + 9x + 36 = (x^3 + 4x^2) + (9x + 36) = x^2(x+4) + 9*(x+4) =

    = (x^2 + 9)*(x+4).


The zeroes are  3i, - 3i  (complex zeroes)  and  -4 (real zero).