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
timurjin [86]
3 years ago
6

Complete the steps to factor the polynomial by grouping.P(x) = x3 + 5x2 – x – 5

Mathematics
2 answers:
ahrayia [7]3 years ago
6 0
<span>P(x) = x</span>³<span> + 5x</span>²<span> – x – 5

P(x) = x</span>²(x+5) - (x + 5)

P(x) = (x + 5)(x² - 1)

P(x) = (x + 5) (x + 1)(x -1)
valentina_108 [34]3 years ago
6 0

Answer

Find the  steps to factor the polynomial by grouping.

To prove

As given the polynomial in the question

P(x) = x³ + 5x² – x – 5

P(x) = x² (x + 5) – (x + 5)

Take  (x + 5) as common

P(x) =  (x + 5) (x² - 1)

As using the identity

(a² - b²) = (a - b)(a + b)

P(x) =  (x + 5) (x - 1)(x + 1)

Therefore the factors of the polynomial by grouping are (x + 5) and (x - 1)(x + 1) .

You might be interested in
Name the relationship between 3 and 6
tigry1 [53]
3 is double 6 so the relation ship is that it is doubled
7 0
3 years ago
What is the distance between the following points?
PilotLPTM [1.2K]
Answer :

right : 9,7
left :-2,7
5 0
1 year ago
A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
bezimeni [28]

Slope = (rise) / (run)

Rise = (171-93) = 78 ft

Run = 6.5 yards = 19.5 ft

Slope = (78 / 19.5)

Slope = 4

The correct figure is not included in the list of choices.

4 0
3 years ago
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
3 years ago
Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave
Aleonysh [2.5K]
Hi! 
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.
6 0
3 years ago
Other questions:
  • Find the next two terms in the sequence.<br><br> 0, 1, 4, 9, . . .
    14·1 answer
  • 3. At the Art Studio 3/8 were red and
    12·2 answers
  • What is the value 6x^2-13 for x=2
    9·1 answer
  • In a primary school class, the ratio of boys to girls is 3:4. If there are 12 girls in the class, what is the total number of st
    8·2 answers
  • I WILL GIVE BRAINLIEST TO FIRST GOOD ANSWER: A pizza shop has the following optional toppings: pepperoni, sausage, peppers, and
    6·2 answers
  • Determine the volume of the composite figure displayed.
    12·1 answer
  • The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the
    9·1 answer
  • Help me and i’ll mark brainliest
    10·1 answer
  • How many 1/2 yard lengths are in 1 yard
    5·1 answer
  • The roots of f(x) = 2x2 + 2x - 4 at which x-values?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!