Question

Which of the binomials below is a factor of this trinomial? x^2+14x-24

Answer 1

The answer is x-12
The two binomials that create this trinomial are
(x-12)(x-2)
the answer would be x^2 - 14x +24

Answer 2

`(x-12)` is a factor

Explanation:

`x^2-14x+24`

The product is 24 and sum is
`-14`

To factor it we need to find out two factors whose product is 24 and sum is
`-14`

`-12 \cdot -2= 24`

`-12 +(-2)= -14`

Two factors are
`-12 , -2`

`x^2-14x+24`

`(x-12)(x-2)`

`(x-12)` is a factor