Question

using factor theorem factorise the polynomial x3+x2-4x-4​

Answer 1

Step-by-step explanation:

By Factorising we get

x^3 + x^2 - 4x - 4 = (x+1) (x+2) (x-2)

Answer 2

★ p(x) =x^3 + x^2 - 4x - 4

now, put the value of x= -1

p( -1) = (-1)^3 + (-1)^2 -4(-1) -4

= -1 +1 +4 - 4

= 5-5

=0

so, (x + 1) is a factor of p(x).

______________

x+1 ) x^3 + x^2 -4x -4 ( x^2 - 4

x^3 + x^2

- -

0 -4x -4

-4x -4

+ +

×

:- ( x+1) [ x^2 - 4]

:- ( x+1 ) [ x^2 -2x +2x -4]

:- ( x+1 ) [ x(x-2) +2(x-2) ]

:- (x+1) (x+2) (x-2) } -: answer

so, (x+1) (x+2) (x-2) are the factors of p(x).

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