Factor the polynomial and use the factored form to find the zeros. (Enter your a

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Factor the polynomial and use the factored form to find the zeros. (Enter your answers as a comma-separated list.)
P(x) = −x3 + x2 + 12x
x = 
Jul 14th, 2015

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Jul 14th, 2015

P(x) = −x3 + x2 + 12x

to find factors equate P(x) = 0 hence write 

x3 + x2 + 12x = 0

substituting x = 0 we get P(x) = 0 hence x =  0  is a factor of the given polynomial

take out x from all the terms we get ,    x (−x2x + 12) =0

we can rearrange it as  ; x (−x2 + 4x-3x + 12) =0  ;   x { -x(x -4) -3(x -4)} =0

Now (x-4) is common hence we can take it out and get

x(x-4) (-x-3) =0 ; or x = 0 , 4,3  (Answer)


Jul 14th, 2015

can you please check please not correct

Jul 14th, 2015

X=0, 4 &  -3

Jul 14th, 2015

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