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larissa3 larissa3
  • 03-03-2016
  • Mathematics
Answered

Which choice is a factor of x^4-1 when factored completely? A. x^2-1 B. x C. x-1 D. 1

Verified Answer :

nberroa13 nberroa13
  • 03-03-2016
Cx-1 i think
This is a difference of perfect squares
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apologiabiology
apologiabiology apologiabiology
  • 03-03-2016

ok so remember that x^3 times x^3=x^6 so
remember that
a^2+b^2=(a+b)(a-b)
so
(x^2)^2-1^2=(x^2+1)(x^2-1)
x^2-1^2=(x+1)(x-1)

possible factors are (x^2+1), (x^2-1), (x+1), (x-1)

facotred completely so have to chose from (x^2+1), (x+1), (x-1) since the (x^2-1) wasn't factored completely

the only match is C. x-1

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