Factor completely: 4x^3 - 36x

2 answers:

3 0

You would take out a 4x out of both terms because this is a common factor
4x^3-36x
4x(x^2-9)
and then you would notice that (x^2-9) is a difference of squares, so that factors out too
4x(x-3)(x+3)
that is all you can factor! hope this helps

asambeis [7]3 years ago

3 0

The factor of this is 4x(x^2-9)
then x^2-9 can be factored using sum and difference.
4x(x+3)(x-3)

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Please help and please slove and explain im not getting this

OLga [1]

Answer:

x-intercept= (3⅓, 0)

y-intercept= (0, 4²⁄₇)

Please see the attached picture for the graph.

Step-by-step explanation:

-9x -7y= -30

Let's simplify the equation by dividing both sides by -1.

9x +7y= 30

x- intercept occurs at y= 0.

When y= 0,

9x +7(0)= 30

9x= 30

x= 30 ÷9

$x = 3 \frac{1}{3}$

Thus, x- intercept occurs at (3⅓, 0).

y-intercept occurs at x= 0.

When x= 0,

9(0) +7y= 30

7y= 30

y= 30 ÷7

$y = 4 \frac{2}{7}$

Thus, y- intercept occurs at (0, 4²⁄₇).

_____

To graph the equation, draw the x and y axis on a graph paper. Use an appropriate scale to divide the line into equal parts. Next, plot the points (3⅓, 0) and (0, 4²⁄₇). Then, join the two points with a straight line.

Notes:

x- intercept is the point at which the graph cuts through the x- axis. In this case, your x- axis is the horizontal line that runs from left to right of your graph paper. In order for a point to be on this horizontal line, look at the y- axis and notice that it sits at y= 0. The same reason applies for why the y- intercept occurs at x= 0. This has to do with the two axis cutting each other at the point (0,0), resulting in the x and y coordinates of 0 for the y and x intercepts respectively.