Last question :
Which of the following polynomials below is identical to the polynomial \[(x^2-1)(x^2-4)\]
options are : a) \[x^4+4\] b) \[x^2-5x+4\] c) \[(x^2+1)(x^2+4)\] d) \[(x^2+x-2)(x^2-x-2)\]
what do u think ? just by looking ? no solving anything..
one of your options has got no cubic term and it is similar to that of your given equation ..expand your given equation first
\[x^4-5x^2+4=0\] does any of your option look like this..after the expansion
WELL........ TWO POLYNOMIALS ARE IDENTICAL IF THE DIFFERENCE BETWEEN THE POLYNOMIALS IS 0
\[(x^2-1)=(x-1)^2\] is this right?
nopes
what means nopes
what nopes??
@igbasallote
expand every option and you'll have your answer
but it was right? you did'nt say??
NO...... (x^2 -1) and (x-1)^2 are not identical
@mayankdevnani
since \[(x ^{2}-1)(x ^{2}-4)=((x -1)(x +1)(x-2)(x+2))\] and u know that option d is equal to \[(x+2)(x-1)(x-2)(x+1)\] what does it implies?
\[x^2-1^2\]
BECAUSE (x^2-1) -(x-1)^2 =x^2-1-(x^2-2x+1) =x^2-1-x^2+2x-1 =2x-2 THE DIFFERENCE BETWEEN THE POLYNOMIALS IS NOT O
@REMAINDER
no ,how did u get that?
@mayankdevnani did u understand @REMAINDER
no
HE FACTORED ALL THE TERMS OF ALL OPTIONS AND THE QUESTION
wat i mean is that by sorting option d the one i've simplified u'll have (x-1)(x+1)(x-2)(x+2) which is equal to the factor of the \[(x ^{2}-1)(x ^{2}-4)\]
\[answer \] is \[x^2+2x^2+1\]
check this |dw:1348660232090:dw| do u understand this part?
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