It’s B. (Note: The image below isn’t mine but I can assure you it is B)
Option C
The zeros of the polynomial function f(x) = x^3 - 5x^2 - 6x is x = 0 and x = -1 and x = 6
<h3><u>Solution:</u></h3>
Given that polynomial function is f(x) = x^3 - 5x^2 - 6x
We have to find the zeros of polynomial
To find zeros, equate the given polynomial function to 0. i.e f(x) = 0

Taking "x" as common term,

Equating each term to zero, we get

Thus one of the zeros of function is x = 0
Now let us solve 
We can rewrite -5x as -6x + x

Taking "x" as common from first two terms and -6 as common from next two terms

Taking (x + 1) as common term,
(x + 1)(x - 6) = 0
x + 1 = 0 and x - 6 = 0
x = -1 and x = 6
Thus the zeros of given function is x = 0 and x = -1 and x = 6
Discriminant = sq root (-17^2 -4*3*10)
discriminant = sq root (289 -120)
discriminant = sq root (169)
The discriminant is positive so the equation will have 2 rational solutions.
Answer:

Step-by-step explanation:
Given

Required
Find the equation of the line
First, the slope of the line has to be calculated using the following formula;


So, the equation becomes



The equation of the line can then be calculated using



Multiply both sides by x


Add x to both sides


Reorder




Multiply both sides by x - 6



Add x - 6 to both sided



Hence, the equation of the line is 