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Question
Factorize each of the following expression:
x4 − 1
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Solution
\[x^4 - 1\]
\[ = ( x^2 )^2 - 1\]
\[ = ( x^2 + 1)( x^2 - 1)\]
\[ = ( x^2 + 1)(x + 1)(x - 1)\]
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A contractor uses the expression 4x2 + 11x + 6 to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x + 2), find the number of outlets in terms of ’x’. [Hint : factorise 4x2 + 11x + 6]
