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

Answer:

$(x-12)$ is a factor

Step-by-step 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