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
lapo4ka [179]
3 years ago
6

Factor the polynomial completely. Use synthetic division. F(x) = x^3-7x-6

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             <u>↓   0     -1      1          6</u>

            <u>       1       -1      -6       0     </u>

<u />

<em>The polynomial    x² - x - 6 </em>

<u><em>Step(ii):-</em></u>

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

<u><em>Final answer:-</em></u>

The factors of given polynomial    x =-1 , -2 and x =3

You might be interested in
Please help me!!! I would really appreicate it but if you can't that is okay I understand :)
Oksana_A [137]
It would be D
Because since each small square represents 2 kg. The left scale would be balanced by 10kg(2x5=10) and the left one would be 8kg(2x4=8). Therefore D would be the answer. I hope it helps)
5 0
3 years ago
Megan and her brother Seth are saving up to buy a DSLR camera. Seth has
bazaltina [42]

Answer:

Meghan's weekly allowance is $60

Step-by-step explanation:

The first thing you need to do is know how much the camera is and how much Seth has already. If Seth already has $299.99 and the camera costs $699.99, you need to work out how much more you need.

699.99-299.99=400

$400

You need $299.99 more so you divide that by 5

59.998

Money is in 2 decimal point so you round to two.

Which gives you 60

That way, Meghan has $60 a week

3 0
3 years ago
An initial population of 325 quail increases at an annual rate of 11%. Write an exponential function to model the quail populati
mariarad [96]

Answer:

  • f(x) = 325*1.11ˣ

Step-by-step explanation:

  • Initial population = 325
  • Increase rate = 11% or 0.11

<u>Required function is:</u>

  • f(x) = 325(1 + 0.11)ˣ
  • f(x) = 325*1.11ˣ
3 0
3 years ago
Finding the Total Cost of Items with Tax A state has a sales tax of 7 percent. A 2-column table with 4 rows. Column 1 is labeled
Vsevolod [243]

Answer:

Find the total cost of these items, including tax. Round to the nearest hundredth.

Water bottle: 1.61

Flashlight: 3.20

Step-by-step explanation:

2020 edgenuity

3 0
3 years ago
Read 2 more answers
Can someone help me with this question?
Tamiku [17]
If you had a rectangular prism, there would be 4 rectangular faces and 0 triangular faces.
A triangular prism would have 0 rectangular faces and 4 triangular faces.
5 0
3 years ago
Other questions:
  • What is the best approximation for the circumference of a circle with a diameter of 300 feet
    5·2 answers
  • Emily is 41 years old. Colin is 10 years older than Emily. Dan is 15 years younger than Emily. What is the total of their combin
    8·2 answers
  • Please help!
    6·2 answers
  • F(x)=5^x if F(-2) what does this equal
    14·1 answer
  • Baseball. doughnuts are weights placed on baseball bats during warmupm. A high school team uses baseball doughnuts that weighs 5
    7·1 answer
  • 99PTS!!!!!!!
    9·2 answers
  • Someone answer this question I know your reading this.
    13·1 answer
  • 2-tert-butyl-3-methylhexane​
    10·1 answer
  • How do you find 3/4 of 20<br><br> Fast response please!!
    9·2 answers
  • Need to pass whats 1+3-4+24-23=
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!