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
yawa3891 [41]
3 years ago
10

The polynomial p(x)=x^3-7x-6 has a non-factor of (x+1) rewrite p(x) as a product of linear factors.

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

Using synthetic division suffices to answer your question:

Step-by-step explanation:

Synthetic division is the process by one reduces a large polynomial in your case x^3-7x-6 by a binomial in your case (x+1).

To do so one does the following:

\begin{array}{cccccc}-1|& 1&0&-7&-6\\ & &-1&1&6 \\& 1&-1&-6&0  \end{array}

Since we divided by a linear binomial it reduces the power by one which produces the following quadratic:

(x^2-x-6)

Which can be factored in the following, and I will provide the complete factorization as well:

p(x)=(x+1)(x-3)(x+2)

You might be interested in
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0
3 years ago
Question 6 of 10<br>2 Points<br>Which number is rational?<br>ОА. О.31243576.<br>оооо​
MatroZZZ [7]

Answer:

Yes О.31243576 is a rational number

4 0
3 years ago
3 (x-1) - 8 = 4 (1+x) + 5 Solve it please?
tigry1 [53]

Answer:

X= -20

Step-by-step explanation:

4 0
3 years ago
The goal of a nutritional study was to compare the caloric intake of adolescents living in rural areas of the US with the calori
stiks02 [169]

Answer:

To give more clarity to the question, lets examine the attached back-to-back stem plot.

A)

Having examined the stem plot, we can using quick calculations, summarize that:

The mean (40.45 cal/kg) and median (41 cal/kg) daily caloric intake of ninth-grade students in the rural school is higher than the corresponding measures of center, mean (32.6 cal/kg) and median (32 cal/kg), for ninth-graders in the urban school.

The median and the mean for the students in the 9th grade in the urban school is lower than that of those of their contemporaries in the rural school. The respective medians and means are stated below:

Urban 9th Grade Students

Median = 32 cal/kg

Mean = 36 cal/kg

Rural 9th Grade Students

Median = 41 cal/kg

Mean = 41 cal/kg

Please note that all figures above have been approximated to the nearest whole number.

B)

It is unreasonable to generalize the findings of this study to all rural and urban 9th-grade students in the United States because the sample is too small compared to the target population size.

To allow for generalization, they would have to collect and analyze more samples say from every state within America.

Cheers!

5 0
3 years ago
When adding numbers can you move them around? A. yes B. no
oee [108]

Answer:

yes

Step-by-step explanation:

The law lets us move all of the addends around in any addition problem.

7 0
3 years ago
Other questions:
  • hi:) my teacher taught another method but she said we’ll only be learning it next year. I didn’t understand it , anyone able to
    11·1 answer
  • When i was two, my brother was half my age<br> now i am 100. what is my brothers age
    5·2 answers
  • Jessica has already painted 4 birdhouses for her summer camp group. She continues to work, painting 6 houses every two hours’ wh
    5·1 answer
  • Pleaseee helppp!!! Need to pass this test!!!!
    10·2 answers
  • Plz help! worth xtra points pythagream therom 3d!
    15·1 answer
  • use each of the digits 5 4 3 2 1 exactly once to create two different five digit numbers. Write each number on the line and comp
    9·1 answer
  • Slope :( 15 pts <br> Thank u in advance
    14·1 answer
  • Kevin brought 15 chicken wings for 31.50 how much would it cost for 7 wings.
    12·1 answer
  • PLS HELP ASAP 30 POINTS
    11·1 answer
  • Jonas wants to paint the walls of his bedroom and the
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!