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
miv72 [106K]
2 years ago
9

Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?

Mathematics
1 answer:
victus00 [196]2 years ago
4 0
Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:


   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------  
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
You might be interested in
Write a function rule that represents the situation.
Dafna1 [17]
The function would be:
6.95 + (0.75*t) = p
3 0
2 years ago
Choose the more precise measurement.<br><br> 37 T <br><br> 56 lb
Gnesinka [82]

Answer:

56lb

Step-by-step explanation:

there are 2000lbs in a ton so a measurement in pounds is more precise

5 0
2 years ago
Write an equation for a linear function whose graph has the given characteristics.
Sophie [7]

Answer:

y-1=1/4(x-8)

x-4y-4=0

7 0
3 years ago
If a section of a circle graph needs to represent 15%, then its angle measure will be a0 degrees.
mash [69]
We know that
<span>Since a circle is 360 degrees,
then
360</span>°-----------> 100%
<span>x </span>°----------> <span>15% 
</span>x=15*360/100-----> x=54°

the answer is
54 degrees
5 0
3 years ago
Read 2 more answers
Find the volume of the cone
maksim [4K]
The volume is 800pi cubic feet

5 0
3 years ago
Other questions:
  • What is domain and range of f(x) = -37
    8·1 answer
  • A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformat
    14·1 answer
  • Find the slope of each line defined below and compare their values. Down-drop Less than, greater than, equal to.​
    8·1 answer
  • The center of a circle is at (2, −5) and its radius is 12.
    10·2 answers
  • Simplify using the order of operations.
    6·1 answer
  • In a factory 7 men can make 20 bicycles in 5 days.How manny bycycles by 4 men in 14 day?
    12·1 answer
  • Convert each measurement into another measurement unit. How many inches are in 5 ft?
    12·1 answer
  • A variable needs to be eliminated to solve the system of equations below. Choose the
    9·1 answer
  • Darren went shopping. He bought a shirt and a tie for a total price of £29.75. This price includes a 15% loyalty discount.
    13·2 answers
  • Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!