Question

Factorisation:
(x²-6x+9)÷(x-3)​

Answer 1

Answer:

Step-by-step explanation:

STEP

1

:

           x2 - 6x - 9

Simplify   ———————————

              x - 3    

Trying to factor by splitting the middle term

1.1     Factoring  x2 - 6x - 9  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -9 = -9  

Step-2 : Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   -6 .

     -9    +    1    =    -8  

     -3    +    3    =    0  

     -1    +    9    =    8  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored