Question

factorise x3+ 2x2 -5x -6 by factor theorem​

Answer 1

Step-by-step explanation:

put x=-1 we get -1+2+5-6=0

here x=-1 is a factor

dividing x^3+2x^2-5x-6 by x+1

x+1)x^3+2x^2-5x-6(x^2+x-6

x^3+x^2

_________________

x^2-5x-6

x^2+x

___________________

-6x-6

-6x-6

_____________________

0

(x+1)(x^2+x-6)=0

(x-1)(x^2+3x-2x-6)=0

(x-1)(x(x-2)+3(x-2))=0

x=-1,x=2,x=-3