Answer:
(In Interval Notation: )
Step-by-step explanation:
Given the following binomial:
You know that if this binomial is in the interval:
It must be:
Therefore, in order to find for what values of "x" the binomial belongs to the given interval, you need to solve the inequality.
Then, you get:
Now, you can write this in Interval notation.
Since it is an Open Interval, you must use parentheses. Then, this is:
The equation given in the question is
5x^2 - 5x - 100 = 5x^2 - 25x + 20x - 100
= 5x(x - 5) + 20(x - 5)
= (5x + 20)(x - 5)
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the third option or option "C". I hope that this is the answer that you were looking for and the answer has actually come to your desired help.
The answer is 7 and negative 8 (C)