Question

use factor theorem to factorise completely x^3+x^2-4x-4... plzz help... I have maths exam tomorrow... ​

Answer 1

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 )