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Find all the zeros of the polynomial, then completely factor it over the real and complex numbers. f(x) = 9x^3 + 5x + 2

          Find all the zeros of the polynomial, then completely factor it over the real and complex
numbers.  f(x) = 9x^3 + 5x + 2
        

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Find all the zeros of the polynomial, then completely factor it over the real and complex numbers. f(x) = 9x^3 + 5x + 2
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Transcript

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00:01 In this question, we are going to find all of the zeros of the polynomial function, and then factor it completely over the set of complex numbers.
00:12 Set your function equal to zero.
00:24 You can use the quadratic formula, or you could complete the square.
00:30 I'm going to complete the square.
00:35 To complete the square, subtract 5 from both sides.
00:42 Then take half of negative 2, which is negative 1, and negative 1 squared is 1...
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