Question

1) Factorize: x^2 - 10x +24

Answer 1

We are given with a quadratic equation and we have to factorise it , so let's proceed.

`{:\implies \quad \sf x^(2)-10x+24}`

`{:\implies \quad \sf x^(2)-6x-4x+24}`

`{:\implies \quad \sf x(x-6)-4(x-6)}`

`{:\implies \quad \bf \underline{\underline{(x-6)(x-4)}}}`

Used Concepts :-

To factorise a quadratic polynomial ax² + bx + c we have to split it's middle term bx into say mx and nx and it will look like ax² + mx + nx + c ,also we should split it such that it follows the both conditions below :-

• m × n = c × a
• m + n = b

Answer 2

To Factorize:

• 
  `\underline{ \sf {x}^(2) - 10x + 24}`

`~`

Solution:

`\: \: \: \: \sf \longrightarrow {x}^(2) - 10x + 24`

`\: \: \: \: \sf \longrightarrow {x}^(2) - 4x - 6x + 24`

`\: \: \: \: \sf \longrightarrow x(x - 4) - 6(x - 4)`

`\: \: \: \: \sf \longrightarrow (x - 6)(x - 4)`