Answer:
(3x-7)(8x-3)
Explanation:
factorise :
24x²-65x+21
We can factorize it by middle term factorisation.
For this we need to get 65 while adding and 24*21=504 while multiplying.
We can get 65 by adding as
While multiplying we get, 56*9=504
We can write the above equation as:
24x²-(56+9)x+21
Opening bracket
24x²-56x-9x +21
Taking common from each term
8x(3x-7)-3(3x-7)
Taking common again and keeping remaining in bracket
(3x-7)(8x-3)
So,
Factor form is (3x-7)(8x-3)
