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
Slav-nsk [51]
3 years ago
9

If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by x + 1?

Mathematics
1 answer:
Alchen [17]3 years ago
5 0
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

You might be interested in
The sum of a number and 8 is 15
kodGreya [7K]
You mean, what is this number?

we can rephrase it like this: the sum of a number x and 8 is 15

which is:

x+8=15

we subtract 8 from both sides and we get
x=7

so the answer is 7.
3 0
3 years ago
Read 2 more answers
The snowfall data for Resort A have an interquartile range of around 50. The snowfall data for Resort B have an interquartile ra
djverab [1.8K]

The data for resort A shows more consistency because a larger interquartile range such as the one for resort B, shows more variation. This means that the snowfall for resort A is more likely to be close to the median.


Just did this on edg. :)

3 0
3 years ago
The area of a garden is 8 3/4 square yards. If the lenght is 1 1/4 yards , what is the length?​
andrezito [222]

Answer:

The Missing Length = 7

Step-by-step explanation:

Equation: side length x side length = area

  • This means that if you divide the area by one of the side lengths, you'll find the other

1.  Convert the numbers into decimals

  • 8 3/4 -  8.75 (area)
  • 1 1/4  = 1.25 (side length)

2. Divide the <u>area</u> by the <u>side length</u>

  • 8.75 ÷ 1.25 = <u>7</u>

<u></u>

<u>7</u> is the answer.

6 0
2 years ago
A bookshelf in Deirdre’s living room has 4 shelves. There are 12 books on each shelf. How many books are on the bookshelf altoge
jarptica [38.1K]

the answer is 48 because 12x4 equals 48

5 0
3 years ago
The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find
dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean(\mu) of 2500 hours and standard deviation(\sigma) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: Z=\dfrac{X-\mu}{\sigma}

For X = 2470

Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

7 0
2 years ago
Other questions:
  • Mike was in charge of a special sports day at the Community Center. A company donated 50 boxes of ice cream bars, with 12 bars i
    12·1 answer
  • If BH = 108, find DE.
    6·1 answer
  • Please help ASAP
    10·1 answer
  • Please help! I'm leaving school and I have to teach myself this!
    12·1 answer
  • What is 52% of 10 <br><br><br> Mckenna Kampfer
    10·2 answers
  • PLEASE HELP ASAP
    15·1 answer
  • 5/4*6/25+6/5 ill even give brainliest
    13·2 answers
  • Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.
    15·1 answer
  • Kelly is paid $20 to babysit for 8 hours. How much is she paid per hour?
    14·2 answers
  • The graph below shows the motion of a ball rolling on a straight track, what was the ball's average speed during the time repres
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!