Question

Factorise : 24x²-65x+21.​

Answer 1

(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.

• 504 = 2*2*2*3*3*7

We can get 65 by adding as

• 56+ 9

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)

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