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
geniusboy [140]
2 years ago
15

6. Consider the polynomial p(x) = x^2 + kr^2 +x+6. Find a value of k so that x+1 is a factor of P. Find all the zeros of P.​

Mathematics
1 answer:
Nikitich [7]2 years ago
6 0

If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have

<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0   →   <em>k</em> = -4

So we have

<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6

Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives

<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6

Synthetic division, for instance, might go like this:

-1   |   1    -4     1     6

...   |         -1    5    -6

----------------------------

...   |   1    -5    6     0

Next, we have

<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)

so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2

You might be interested in
What is one half ( 1/2 ) squared?
lorasvet [3.4K]

Answer:

(\frac{1}{2} )^{2} =\frac{1^2}{2^2} = \frac{1} {4}}

When squaring a fraction, square both numerator AND denominator

7 0
3 years ago
Read 2 more answers
Right triangle with angles 12,8 and y Pythagorean theorem
igomit [66]

Answer:

Step-by-step explanation:

4 0
3 years ago
3a.) Today, everything at a store is on sale. The store offers a 20% discount. 1 poin
Novay_Z [31]

Answer:

14.40

Step-by-step explanation:

100%-> 18

100-20=80

80%-> 14.40

6 0
3 years ago
A(n) ___________________ variable is a qualitative variable such that there is no meaningful ordering or ranking of the categori
Licemer1 [7]

Answer: c. Nominal

Step-by-step explanation:

Level of measurement determines the nature of description .

The four levels of measurements scales are

1. Nominal scale

  • Categorize the data on the basis of the quality such as Gender, color, etc.

2. Ordinal scale

  • Order attributes according to their ranks. For example : 1 < 2 < 3 .

3. Interval scale

  • Describe the feature of the difference between any two categories. For example : Fahrenheit scale to measure temperature.

4. Ratio scale

  • Consist of the features of nominal, ordinal, and interval measures but in includes a "true zero" point.

For example : Age.

∴ A<u> nominal</u> variable is a qualitative variable such that there is no meaningful ordering or ranking of the categories.

Hence, the correct answer is c. Nominal .

5 0
2 years ago
Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).
Ludmilka [50]

Answer:

can u say what subject is that

3 0
2 years ago
Other questions:
  • Hundred and fifty divided by twenty five
    14·2 answers
  • You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How
    13·1 answer
  • chris wants to put up a fence around his sqaure garden the garden measures 3 feet on each side .how much fencing matirial does h
    6·1 answer
  • A number “x” increased by 5 is 19?
    13·2 answers
  • What’s the midpoint between points (-2,5) and (6,-9)
    8·1 answer
  • 3. What is the slope of the line that passes through the points E(5, 1) and F(2, -7)?
    15·1 answer
  • 5. The Toy Car Company sells toy cars for $8.00<br> per car and charges $3.50 for shipping.
    13·1 answer
  • In a movie's opening weekend, 879,575 tickets are sold in 755 theaters. The average cost of a ticket is $9.50. What is the avera
    5·2 answers
  • 506 students went on a field trip nine buses were filled and 29 students traveled in cars how many students were in each bus
    9·2 answers
  • In one week, we sold 184 baskets at $3.25 each. The following week, we reduced the price of the basket to $2.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!