Question

B) Factorise
Factorise y2 + 2y - 24
​

Answer 1

( y-4) ( y+6)

Explanation:

= y^2 + ( 6 - 4)y - 24

= y^2 + 6y - 4y - 24

= y( y + 6) - 4(y + 6)

= ( y - 4 ) ( y + 6)

Answer 2

(y + 6)(y - 4)

Explanation:

Factor the following:

`\longrightarrow` y² + 2y - 24

The factors of -24 that sum to 2 are 6 and -4.

So,

`\longrightarrow` y² + (6 - 4)y -24

`\longrightarrow` y² + 6y - 4y - 24

`\longrightarrow` y(y + 6) - 4(y + 6)

`\longrightarrow` (y + 6)(y - 4)