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
Allisa [31]
3 years ago
6

Use long or synthetic division to find the following quotients (x^3+2x^2!22x-45)÷(x+5) ​

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}

Step-by-step explanation:

Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .

x+5) x³+2x²-22x-45 ( x² -3x -7

x³ + 5x²

- -

______________

- 3x²-22x -45

-3x² -15x

+ +

______________

-7x -45

-7x -35

______________

-10

<u>Quotient</u><u> </u>= x² -3x -7

<u>Remainder </u>= (-10)

<h3><u>★</u><u>Hence </u><u>the</u><u> </u><u>quotient</u><u> </u><u>is </u><u>x²</u><u> </u><u>-3x </u><u>-</u><u>7</u><u> </u><u>and </u><u>the</u><u> </u><u>remainder</u><u> </u><u>is </u><u>(</u><u>-</u><u>1</u><u>0</u><u>)</u><u> </u><u>.</u></h3>
You might be interested in
The Rockford's have a square play area that is built around a center sandbox that is in the shape of a circle. The sides of the
stealth61 [152]
<span>The area of the square is d^2. The area of the circle sandbox is πr^2=πd^2/4. So the area of play area only is equal to square area minus circle area which is d^2-πd^2/4.</span>
5 0
3 years ago
Sarah invested £12000 in a unit trust 5 years ago, the value of the unit trust increased by 7% per annum for each of the last 3
trasher [3.6K]

Answer:

The current price of the unit trust =  £13,831.72

Step-by-step explanation:

Since it increased 7% per annum in last three years and decreased by 3% per annum before that, it implies that the unit trust decreased by 3% per annum for the first 2 years and then increased by 7% per annum for the next 3 years in the total 5 year period

The invested after 2 years = 12,000*(1-0.03)^2 = £11,290.8

This amount then grows by 7% for the next 3 years making it = 11,290.80*(1+0.07)^3 =  £13,831.7155 = £13,831.72 (Rounded to 2 decimals)

The current price of the unit trust =  £13,831.72 (Rounded to 2 decimals)

6 0
4 years ago
The parking garage has 9 rows with 10 parking spaces in each row. There are 8 empty spaces.How many spaces are filled?
andrew-mc [135]

Answer:

82

Step-by-step explanation:

&&'&_555555555----&&&&---

4 0
3 years ago
Read 2 more answers
What is the answer <br> 9x plus 2 (2x+3)
alexandr402 [8]

Step-by-step explanation:

=9x+2(2x+3)

=9x+4x+6

=13x+6 I hope so,

3 0
3 years ago
Read 2 more answers
Please help me with these.. i am stuck
SCORPION-xisa [38]

Answer:

Both are irrational

12√3 = 20.784

9√6 = 22.045

Hopefully this is what you're looking for :)

4 0
3 years ago
Other questions:
  • Let f(x)=x+3 and g(x)=x^2. find (gf)(5)
    7·1 answer
  • The table below shows the values for the function y=f(1/5x)
    9·1 answer
  • Each month Liz pays $35 to her phone company just to use the phone. Each text she sends costs her an additional $0.05. In March
    10·1 answer
  • Describe a diagram of a pair of triangles that share a common angle and a common side.
    9·1 answer
  • Help please inequalities are kicking my butt any help is greatly appreciated thank you in advance
    9·1 answer
  • Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second. Da
    13·1 answer
  • Help me please asap!
    14·1 answer
  • 20 POINTS!
    11·2 answers
  • Heyyyyy ah ha ha ‍ help I’m begging please someone god bless
    14·1 answer
  • ⅕ + ⅕ + ⅕ +⅕ <br><br> 6 x ⅕ <br><br> Which is GREATER?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!