Answer:
See the explanation.
Step-by-step explanation:
Given function is [tex]6x^2+7x-49[/tex]
We will find its root by factoring.
In any quadratic function of the form [tex]ax^2+bx+c[/tex]
We will two numbers that when multiplied gives [tex]ac[/tex]. And when that two numbers are added it turns to [tex]b[/tex].
So, in [tex]6x^2+7x-49[/tex].
[tex]a=6,\ b=7.\ c=-49[/tex]
And [tex]ac=-294[/tex]
So, we need to find two numbers that when multiplied give [tex]-294[/tex],and when added give [tex]7[/tex].
Now, we can see
[tex]-14\times21=-294\\And\ -14+21=7[/tex]
In this manner, we can rewrite [tex]7x[/tex] as [tex]-14x+21x[/tex].
