Question

factorise using splitting the middle term x2 - 5x - 24

Answer 1

Answer:

x²-5x-24

x²-(8-3)x-24

x²-8x+3x-24

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

(x-8) (x+3)

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Answer 2

Answer:

The required factors of the given quadratic expression are ( x - 8 ) & ( x + 3 ).

Step-by-step-explanation:

We have given a quadratic expression.

We have to factorize it.

The given quadratic expression is x² - 5x - 24.

x² - 5x - 24

We have to find such factors that their difference is - 5x and product is - 24x².

Now,

24 = 8 * 3

∴ - 24x² = - 8x * 3x

Also,

- 8x + 3x = 5x

Now,

x² - 5x - 24

⇒ x² + ( - 8x + 3x ) - 24

⇒ x² - 8x + 3x - 24

⇒ x ( x - 8 ) + 3 ( x - 8 )

⇒ ( x - 8 ) ( x + 3 )

∴ The required factors of the given quadratic expression are ( x - 8 ) & ( x + 3 ).