How do you find zeros of #f(x)=5x^3+6x^2+x#?

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Jul 11, 2017

Answer:

Zeros of #f(x)=5x^3+6x^2+x# are #0,-1# and #-1/5#

Explanation:

The function #f(x)=5x^3+6x^2+x# can be factorized as

#f(x)=x(5x^2+6x+1)#

#=x(5x^2+5x+x+1)#

#=x(5x(x+1)+1(x+1))#

i.e. #f(x)=x(5x+1)(x+1)#

Hence zeros of #f(x)=5x^3+6x^2+x# are #0,-1# and #-1/5#

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