1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NARA [144]
3 years ago
11

P(x)=x^3+2x^2-4x-8 how do you factor this polynomial function

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
<h2>Steps:</h2>

So for this, I will be factoring by grouping. Firstly, factor x³ + 2x² and -4x - 8 separately. Make sure that they have the same quantity inside of the parentheses:

p(x)=x^2(x+2)-4(x+2)

Now we can rewrite it as:

p(x)=(x^2-4)(x+2)

However, we aren't finished factoring yet. The first factor, x² - 4, can be factored further using the difference of squares. The difference of squares goes by the formula here: x^2-y^2=(x+y)(x-y) . In this case:

x^2-4=(x+2)(x-2)\\p(x)=(x+2)(x-2)(x+2)

<h2>Answer:</h2>

<u>In short, the answer is p(x)=(x+2)(x-2)(x+2)\ \textsf{OR}\ p(x)=(x-2)(x+2)^2</u>

You might be interested in
Look at the screen shot and please help this is my homework please help
Musya8 [376]

Answer:

the unit rate is $4

Step-by-step explanation:

If you divided 36 by nine you get 4

7 0
3 years ago
which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot
STatiana [176]

Answer:

A

Step-by-step explanation:

I’m taking the same exam

5 0
3 years ago
Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}​
gogolik [260]

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

  • The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
  • The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

#SPJ1

7 0
2 years ago
Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-va
Nat2105 [25]

Answer:

(a <em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>+</u></em><em><u>7</u></em><em><u>a</u></em><em><u>+</u></em><em><u>1</u></em><em><u>2</u></em><em><u>)</u></em><em><u> </u></em><em><u>÷</u></em><em><u>(</u></em><em><u>a</u></em><em><u>+</u></em><em><u>3</u></em><em><u>)</u></em>

5 0
2 years ago
plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz
Nezavi [6.7K]

Answer:

thanks for the points !!! ;)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the product of -9x(5-2x)
    7·2 answers
  • A wise man once said 400 reduced by 3 times my age is 112 what is his age
    10·1 answer
  • I NEED HELP PLEASE !
    11·1 answer
  • Arrange the steps to solve the equation \sqrt(x+3)-\sqrt(2x-1)=-2 solve for x
    10·1 answer
  • What is 4 times the square root of 10 minus the square root of 10
    13·2 answers
  • N + 9 &gt;_ 13 (with the “_” under the “&gt;”
    13·2 answers
  • Create truth table to determine whether or not the following statements are logically equivalent
    13·1 answer
  • In circle M with m \angle LMN= 82m∠LMN=82 and LM=9LM=9 units find area of sector LMN.
    10·2 answers
  • If f(x) = - 6x - 3, then find f( - 2 )<br><br> PLS ANSWER
    14·2 answers
  • Whats 99 divided by 11 times 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!