Question

factorise the following(x²– 5x – 24​

Answer 1

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Let's factor x2−5x−24

x2−5x−24

The middle number is -5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -5

Multiply together to get -24

Can you think of the two numbers?

Try 3 and -8:

3+-8 = -5

3*-8 = -24

Fill in the blanks in

(x+_)(x+_)

with 3 and -8 to get...

(x+3)(x-8)

• Answer:

(x+3)(x−8)