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
noname [10]
3 years ago
10

Factor completely 3n^3 + 4n^2 + 24n + 32

Mathematics
1 answer:
gogolik [260]3 years ago
7 0

In real numbers:

3n^3+4n^2+24n+32=n^2(3n+4)+8(3n+4)\\\\=(3n+4)(n^2+8)

In complex numbers:

=(3n+4)(n^2-(-8))=(3n+4)(n^2-(i\sqrt8)^2)\\\\=(3n+4)(n-i\sqrt8)(n+i\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2\\\\=(3n+4)(n-2i\sqrt2)(n+2i\sqrt2)

Used (a-b)(a+b)=a^2-b^2

You might be interested in
Sahra is three times as old as her daughter. If the sum of their age is 32. what is the age of the daughter?​
Andrews [41]
So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
We can prove that by saying the daughters age is x. Sahra's age must be 3x. Their sum must be x+3x = 4x.
So to get the daughters age we divide the sum by 4, which is 8.
8 0
4 years ago
Read 2 more answers
PLS HELP WILL MARK BRAINLIESTTT What is the solution to this inequality?
vagabundo [1.1K]

Answer:

  a.  x > 0.2

Step-by-step explanation:

In either order, subtract the left-side constant and divide by the x-coefficient.

  3x +2.4 > 3

  3x > 0.6 . . . . . . subtract 2.4

  x > 0.2 . . . . . . . divide by 3

__

or

  x + 0.8 > 1 . . . . divide by 3

  x > 0.2 . . . . . . . subtract 0.8

8 0
3 years ago
I need help to find m
Neko [114]

Answer:

∠MNO = 75°

Step-by-step explanation:

∠mno = 1/2 ( arc MLP - arc MOP )

arc MLP = 241 and arc MOP = 91

so ∠MNO = 1/2 ( 241 - 91 )

241 - 91 = 150

150/2 = 75

Hence, ∠MNO = 75°

4 0
3 years ago
Read 2 more answers
A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
4 years ago
After earning interest, the balance of an account is $420. The new balance is 7/6 of the original balance. Write an equation tha
vredina [299]
<h3>Given</h3>

The current balance is $420.

The current balance is 7/6 of the original balance, b

<h3>Find</h3>

equation to use to find b

<h3>Solution</h3>

Equate the two descriptions of the current balance.

... $420 = (7/6)b . . . . . equation to use to find b

3 0
4 years ago
Other questions:
  • Dinh finished part of her reading homework, reading 20 of the 25 assigned pages. Explain how to find the percent of her reading
    15·1 answer
  • X^2+7x-5 and 2x-y =-9​
    9·1 answer
  • Why is it sometimes best to make a phone call or personal contact when conveying sensitive information?
    13·1 answer
  • Which of the following sentences is in the active voice?
    5·2 answers
  • What does c equal in thus equation I don't know for the life of me help is deeply appreciated 4(3+c)+c=c+4
    10·1 answer
  • 8x25x23 what is the name
    8·1 answer
  • On Sunday morning the temperature was 8°F. By Sunday evening the
    13·1 answer
  • PLEASE HELP!!<br> What is 9/5 as a percentage?<br> a) 180%<br> b) 45%<br> c) 18%<br> d) 1.8%
    10·2 answers
  • The length of a rectangle is 4 more than half the width. Which equation could represent the area of the rectangle in terms of th
    10·1 answer
  • Solve and make a table ( you may decide what the topic is and the value is.Algebra I)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!