Question

x3+6x2+11x+6 factorise​

Answer 1

Answer:

x³+6x²+11x+6

=x³+x²+5x²+5x+6x+6     [WRITING 11x as 5x+6x]

=x²(x+1)+5x(x+1)+6(x+1)   [MIDDLE TERM SPLITTING]

=(x+1)(x²+5x+6)

=(x+1)(x²+2x+3x+6)     [MIDDLE TERM SPLITTING]

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

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

Answer 2

Answer:

x³+6x²+11x+6

=x³+x²+5x²+5x+6x+6      

=x²(x+1)+5x(x+1)+6(x+1)  

=(x+1)(x²+5x+6)

=(x+1)(x²+2x+3x+6)    

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

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

Step-by-step explanation: