SOLUTION: Please help me: Find the zeros of the following functions: f(x)=x^4+6x^3+11X^2+12x+18

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me: Find the zeros of the following functions: f(x)=x^4+6x^3+11X^2+12x+18      Log On


   



Question 63749: Please help me:
Find the zeros of the following functions:
f(x)=x^4+6x^3+11X^2+12x+18

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the zeros of the following functions:
f(x)=x^4+6x^3+11X^2+12x+18
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It has a zero at x=-3 of multiplicity 2.
Using synthetic division, find the remaining factor:
-3)....1.....6.....11.....12.....18
-3)....1.....3......2......6..|..0
.......1.....0......2....|.0
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Quotient: x^2+2
Factors as (x-isqrt2)(x+isqrt2)
Zeroes at -3,-3,isqrt2,-isqrt2
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Cheers,
Stan H.