f(x) = x3 + 4x2 + x − 6 real zeros

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01-08-2016
Mathematics

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f(x) = x3 + 4x2 + x − 6 real zeros

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caylus caylus · Answer 1 · 2016-08-01T21:47:01+02:00

caylus caylus

01-08-2016

Hello,

f(x)=x^3+4x²+x-6
=x^3-x²+5x²-5+x-1
=x²(x-1)+5(x-1)(x+1)+x-1
=(x-1)(x²+5x+5+1)
=(x-1)(x²+2x+3x+6)
=(x-1)(x(x+2)+3(x+2))
=(x-1)(x+2)(x+3)

Zeros are 1,-2,-3.

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