SOLUTION: i need help with factoring questions such as {{{ x^3 - x^2 - 4x + 4 = 0 }}}

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Question 142421: i need help with factoring questions such as +x%5E3+-+x%5E2+-+4x+%2B+4+=+0+
Answer by luckycarebear4(1) About Me  (Show Source):
You can put this solution on YOUR website!
factor by grouping: +x%5E3+-+x%5E2+ is +%28x%5E2%29%28x-1%29+ and
+-4x+%2B+4+ is +%28-4%29%28x+-+1%29+} then combine like terms in a way: +%28x%5E2%29%28x-1%29+ and +%28-4%29%28x+-+1%29} have +%28x-1%29+ in common take that and mult by whats left: +%28x-1%29%28x%5E2-4%29+. to finish solving set (each quantity in brackets) equal to zero: +x-1+=+0+ so add one to both sides and you get +x=+1+ and +%28x%5E2%29-4+=0+ so add 4 to both sides and you get +%28x%5E2%29=4+, take the square root of both sides which cancels the 2nd power and you get +x=+square+root+of+4 which is +x=2+ so your solution is x= 1 and x=2.