Find a common denominator for 5 and 3 and go on from there
3x^3+12x^2+3x
The GCF would be 3x, you can factor out a 3x
3x(x^2+4x+3)
You can further factor the problem...
3x(x+3)(x+1)
Another equivalent form can be made if you simply distribute 3x into x+3
(3x^2+9x)(x+1)
Answer:
B
Step-by-step explanation:
3 power of 4 equal to 81
3 power of 2 equal to 9
81/9 = 9
The equation of the line passes through the point
and has a slope
is
.
<h3>
What are a line and the slope of a line?</h3>
Line:
- A line has only one dimension i.e., length and no width.
- It is formed with an infinite number of points lying on it.
- It can be extended infinitely along a straight path in both directions.
- An infinite number of lines pass through a given point, and a unique straight line can be drawn if any two points on that line are shown.
The slope of a line:
The slope of a line is the tangent value of the angle
i.e.,
, where
is the angle made by the line with the positive
-axis.
Equation of a line:
The equation of a line in slope-intercept form is given by
, where
is the slope of the line and
is the
intercept of the line.
Here, we want to find the equation of the line which passes through the point
and has a slope
.
So, put
in
and obtain
.
Now, since the line passes through the point
, put
and
in
to obtain:
![-6=-3\times 3+c\\\Longrightarrow -6=-9+c\\\Longrightarrow c=-6+9\\\Longrightarrow c=3](https://tex.z-dn.net/?f=-6%3D-3%5Ctimes%203%2Bc%5C%5C%5CLongrightarrow%20-6%3D-9%2Bc%5C%5C%5CLongrightarrow%20c%3D-6%2B9%5C%5C%5CLongrightarrow%20c%3D3)
Therefore, after substituting
in
, we obtain the required equation of the line that is
.
So, the equation of the line that passes through the point
and has a slope
is
.