
Use the rational root theorem:

=16,

=1
The dividers of

: 1,2,4,8,16
The dividers of

: 1
Therefore, check the following rational numbers: +-


is a root of the expression, so factor out x-4
Compute

to get the rest of the equation.

Cancel the common factor:

is the final answer
1) Answer:

2) Answer:

The answer for first equation is, option B.
and the Answer for Second equation is option D.
Answer:

Step-by-step explanation:
The point-slope form of a line is given by:

Where
(x_1,y_1) is the coordinate pair (any of the points given)
m is the slope. The ratio of change in y coordinates by x coordinates
Let's calculate the slope:

Now, it is given "y - 4", so y_1 is 4, so they are using the coordinate pair (7,4). So we can say x_1 = 7
Now we have all the values, lets write the equation:

This is the point-slope form.
Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:

We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:

The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).