Question

how to solve ??
factorise x2+5x-24

Answer 1

x² + 5x - 24

x² + (8 - 3)x - 24

x² + 8x - 3x - 24

x(x + 8) - 3(x + 8)

(x + 8)(x - 3)

Answer 2

x² + 5x - 24 = (x + 8)(x - 3)

Given :

The expression x² + 5x - 24

To find :

To factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

x² + 5x - 24

Step 2 of 2 :

Factorise the expression

x² + 5x - 24

= x² + (8 - 3)x - 24

= x² + 8x - 3x - 24

= x(x + 8) - 3(x + 8)

= (x + 8)(x - 3)

∴ x² + 5x - 24 = (x + 8)(x - 3)

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