Factor completely. 2x^4 + 4x^3 - 30x^2 =

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

Answer:

2x^2(x + 5)(x - 3).

Step-by-step explanation:

The Greatest Common Factor is 2x^2, so:

2x^4 + 4x^3 - 30x^2

= 2x^2(x^2 + 2x - 15) Now we factor the quadratic in the parentheses:

= 2x^2(x + 5)(x - 3).

den301095 [7]3 years ago

6 0

Answer:

$2x^2(x-3)(x+5)$

Step-by-step explanation:

The first thing that you can do is to factor out an x^2 from the expression.

x^2(2x^2+4x-30)

The next step is to factor out a 2.

2x^2(x^2+2x-15)

Finally, you can factor the quadratic inside.

2x^2(x-3)(x+5)

And now you're finished! Hope this helps!

You might be interested in

The table lists how poverty level income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint for

frez [133]

The poverty level cutoff in 1987 to the nearest dollar was $10787.

<h3>How to find a midpoint?</h3>

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: $\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$ .

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

$\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\$

$\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)$

$\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)$

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar was $10787.

Read more about the midpoint segment here:

brainly.com/question/11408596