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

Algebra
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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) = x4 − 3x3 + 2x2
x = 
 
Jul 14th, 2015

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Jul 14th, 2015

P(x) = x4 − 3x3 + 2x2

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

0 = x4 − 3x3 + 2x2

take out x2 from all the terms we get ,  x2 (x2 -3x + 2) =0

we can rearrange it as  ; x2 (x2 -2x-x + 2) =0  ;  x2 {x(x-2)-1(x-2)} =0

Now (x-2) is common hence we can take it out and get

x2(x-2) (x-1) =0 ; or x = 0 , 1, 2  (Answer)


Jul 14th, 2015

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