Question

5x^2+ 23x + 12
Factoring ​

Answer 1

`(5 x+ 3)(x + 4)`

Explanation:

We want to factor

`5 {x}^(2) + 23x + 12`

By comparing to

`a {x}^(2) + bx + c`

We have a=5, b=23, c=12

ac=60

We split the middle term with 3x+20x, since 3×20=60

This implies that:

`5 {x}^(2) + 3x + 20x + 12`

Factor by grouping;

`x(5 x+ 3)+ 4(5x + 3)`

We collect common factors again;

`(5 x+ 3)(x + 4)`