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
Pepsi [2]
2 years ago
15

Divide using polynomial long division. (2x3 – 16x² + 37x – 26) = (x - 5)

Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

the solution to the given synthetic division will be expressed as (2x^2 - 6x + 7) + \frac{9}{x-5}

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26)  by (x - 5)

         2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

          2x³ - 10x²

     __________

                 -6x² +37x

                 -6x² +30x

             _______________

                             7x   - 26

                             7x   - 35
                         ______________

                                       9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

 P(x) = Q(x) +  \frac{R(x)}{D(x)} \\(2x^3  -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}

Learn more on synthetic division here: brainly.com/question/24662212

You might be interested in
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after t
lesantik [10]

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

<h3>How to determine the total length?</h3>

The given parameters are:

  • Proportion of sleep = 21%
  • Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

Read more about lengths at:

brainly.com/question/24487155

6 0
2 years ago
The fourth term of an AP is 13 and the second term is 3 find the common difference<br><br>​
kogti [31]

Answer:

5

Step-by-step explanation:

<h3>Given</h3>

<u>In and AP</u>

  • a4 = 13
  • a2 = 3
  • d = ?
<h3>Solution</h3>

<u>Formula for the terms of AP:</u>

  • a4 = a + 3d
  • a2 = a + d

<u>The difference of terms:</u>

  • a + 3d - (a - d) = 13 - 3
  • 2d = 10
  • d = 5
3 0
3 years ago
Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she
Dmitrij [34]

Answer: The  below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x,     ------ (1)

where,  x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.


8 0
3 years ago
Read 2 more answers
What is the value of the expression below when x=3 and y=10?<br> 8x - y
madam [21]

Answer:

8(3) - 10 \\ = 24 - 10 \\  = 14

Step-by-step explanation:

this goes with BODMAS .so it means bracket of divison,multiplication ,addition and subtraction

this means that you would have to solve the one in the bracket first before you'll continue with the rest,that is the subtraction.

7 0
2 years ago
6.<br> 5x – 2y = 17<br> 2x + 3y = 3<br><br> How do i do elimination on this problem.
kolbaska11 [484]

Answer:

Add the equations in order to solve the first variable. Plug this value into the other equation in order to solve the remaining variables.

The point form is (3,-1)

The equation form is x = 3, y = -1

Hope this helps!

<u><em>PLEASE, </em></u>consideer brainliest. I only have 3 left and then my rank will go up.

3 0
3 years ago
Other questions:
  • 21 is greater than or equal to 3(a-7) +9
    12·1 answer
  • Use the given line(s) from a random number table to select numbers to use in each problem. Select 2 contestants for a game show
    5·2 answers
  • Maranda had 4 lbs. 6 oz. of clay she divided it into 10 equal parts how heavy was each part
    10·2 answers
  • Pls help. . . . . . . . . . . . . ​
    6·1 answer
  • GIVING OUT BRAINLIEST PLUS 10 PTS
    5·1 answer
  • PLEASE HELP ASAPP!!!!! NO JOKES ONLY SERIOUS ANSWERS
    8·1 answer
  • What is the maximum number of visits a member of the science museum can make for a total cost of $70?
    15·1 answer
  • Please answer this question needed ASAP!
    12·1 answer
  • Please help meeeeeeeeeeeee
    15·1 answer
  • Scored 28 points in his basketball game by shooting only two point and three point shots. He scored a total of 13 baskets
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!