Question

Factorise x cube - 6x square + 11*-6​

Answer 1

Answer:

Factorise x cube - 6x square + 11*-6​

Step-by-step explanation:

for cubic polynomial we first find one root

put x=  1 in polynomial

P(x) = $x^{3} -6 x^{2} +11 x -6$

P(1) = $1^{3} - 6 (1^{2} ) +11 (1)- 6$

P (1) =12 -12 =0

so (x-1) is zero's of polynomial

now find another zeros

   =$x^{2}$ (x-1) -5x (x-1) +6 (x-1)

now find zero's of quadratic polynomial  q(x) = $x^{2}$ -5 x +6

zero's are  (x-3) and (x-2)