SOLUTION: Use a graph and your knowledge of the zeros of polynomial functions to determine the exact values of all the solutions of the equation. (Enter your answers as a comma-separated lis

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Use a graph and your knowledge of the zeros of polynomial functions to determine the exact values of all the solutions of the equation. (Enter your answers as a comma-separated lis      Log On


   

Question 1052462: Use a graph and your knowledge of the zeros of polynomial functions to determine the exact values of all the solutions of the equation. (Enter your answers as a comma-separated list.)
4x3 + 3x2 + 16x + 12 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From the graph,
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the only real root is at x=-0.75 so one of the factors is,
(4x%2B3).
If you perform polynomial long division,
%284x%5E3%2B3x%5E2%2B16x%2B12%29%2F%284x%2B3%29=x%5E2%2B4
So then the remaining complex roots are x=2i and x=-2i.