Question

How to factor this trinomial(a=1)?

Answer 1

Answer:(x-3)(x+8)

Step-by-step explanation:

x^2+5x-24

We first find two numbers whose product is -24 and whose sum is 5,the two numbers are 8 and -3,we then removed +5x from the equation and replace it with +8x-3x

x^2+8x-3x-24

We factorise

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

We factorise the like terms which is (x+8)

(x-3)(x+8)

Answer 2

Answer:

The answer is (x+8)(x-3) .

Step-by-step explanation:

First, you have to elaborate out :

${x}^{2} + 5x - 24$

$= {x}^{2} - 3x + 8x - 24$

Next, you can factor out the like terms :

${x}^{2} - 3x + 8x - 24$

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

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