use factor theorem to factorise completely x^3+x^2-4x-4... plzz help... I have maths exam tomorrow...
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Answer:
Step-by-step explanation:
Factor out the greatest common factor from each group.
-Group the first two terms and the last two terms.
( x 3 + x 2 ) − 4 x − 4
-Factor out the greatest common factor (GCF) from each group.
x 2 ( x + 1 ) − 4 ( x + 1 )
-Factor the polynomial by factoring out the greatest common factor,
x + 1 . ( x + 1 ) ( x 2 − 4 )
Rewrite
4 as 2 2 . ( x + 1 ) ( x 2 − 2 2 )
Factor.
-Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = ( a + b ) ( a− b )
where a = x and b = 2 .
( x + 1 ) ( ( x + 2 ) ( x − 2 ) )
( x + 1 ) ( x + 2 ) ( x − 2 )
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