# SOLUTION: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x3 + 5x2 + 6x + 2

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x3 + 5x2 + 6x + 2       Log On

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 468363: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x3 + 5x2 + 6x + 2 Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi, f(x) = x3 + 5x2 + 6x + 2 | x = -1 a root as -1 + 5 - 6 + 2 = 0 Using synthetic division (x3 + 5x2 + 6x + 2)/(x+1) = x^2 + 4x + 2 -1 1 5 6 2 -1 -4 -2 1 4 2 0 (x+1)(x^2 + 4x + 2) zeros are: -1, -2+sqrt(2),-2-sqrt(2) ```