Question

factorise x^3+2x^2-5x-6 by using factor theorem.​

Answer 1

Answer:

( X -2 ) ( X + 3 ) ( X + 1 )

Step-by-step explanation:

putting x = -1, we will get the polynomial equal to zero. so ( X + 1 ) is a factor of this equation.

X^2( X + 1 ) + X ( X + 1 ) - 6 ( X + 1 )

(X^2 + X - 6 ) ( X + 1 )

( X^2 +3 X -2 X - 6 ) ( X + 1 )

X ( X + 3 ) - 2 ( X + 3 ) ( X+ 1 )

( X -2 ) ( X + 3 ) ( X + 1 )