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
Svet_ta [14]
3 years ago
13

What is the remainder when (3x^3-2x^2+4x-3) is divided by (x^2+3x+3)?

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

The remainder is 28x+30

Step-by-step explanation:

We will divide  3x^3-2x^2+4x-3 by x^2+3x+3.

To get the first term of the dividend we will multiply x^2+3x+3 by 3x

 3x(x^2+3x+3)

=3x^3+9x^2+9x

It means    

     x^2+3x+3) 3x^3-2x^2+4x-3(  3x -11  

                       3x^3+9x^2+9x

                   -           -         -

                  _________________

                                   11x^2-5x-3       (Now multiply x^2+3x+3 by -11 to get the

                                   11x^2-33x-33     first term)

                              -            +      +

                             _______________

                                          28x+30

We can not solve it further because remainder has two terms and divisor has 3 terms. Therefore the remainder is 28x+30....

You might be interested in
Michelle has fifteen more than two times as many pieces of candy as her sister. Which expression represents the number of pieces
kondaur [170]
Fifteen more means somewhere we’ll add 15. Two times as many as c = 2c. So,

2c + 15 = how much candy Michelle has
2c + 15 is the answer
7 0
3 years ago
Read 2 more answers
What is the approximate volume of the cylinder? Use 3.14 for π.<br> 9 Hight and 4 length.
krek1111 [17]

Answer:

113.04

Step-by-step explanation:

Radius(r)= 4/2 = 2

Volume = r² x π x h

⇒ 4 x 3.14 x 9 = 113.04 (when using pi = 3.14)

hope this helps!

5 0
3 years ago
If 27y is a multiple of 9 where y is a digit . What is the minimum value of Y.
stiv31 [10]
<h3>Answer:  0</h3>

Explanation:

The single digits are {0,1,2,3,4,5,6,7,8,9}

So naturally 0 is the first thing to test.

The number 270 is a multiple of 9 because 9*30 = 270. The digits of 270 add to 2+7+0 = 9 showing that it's a multiple of 9. Refer to the "divisibility by 9 rule".

The next possible value of y will be 9 units higher than y = 0, so we go for y = 9. Meaning that 279 is also a multiple of 9 (because 2+7+9 = 18 is a multiple of 9).

4 0
2 years ago
How do you divide fraction (in the simplest form)
Sindrei [870]

Answer:

1/3 divided by 5/4

So we divide both the top by 3 and the bottom by 3 and so our final answer would be 4 over 7. So that's our simplified fraction

-------------

Invert and multiply:

Take the reciprocal of the divisor and multiply the dividend. The top and bottom are being multiplied by the same number. Since that number is the reciprocal of the bottom part, the bottom becomes one.

Find the biggest common number:

It could be said to be a "more correct" method. This is the correct way since, you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.

3 0
3 years ago
Read 2 more answers
Intergal of 8sin^4(x)dx
Romashka-Z-Leto [24]
\int\limits8sin^4(x)dx =

Take the constant out \int\limits a*f(x)dx=a* \int\limitsf(x)dx

= 8 \int\limits sin^4(x)dx

\int\limits sin^4(x)dx = - \frac{cos(x)sin^3(x)}{4} = \frac{3}{4}  \int\limits sin^2(x)dx

= 8( -\frac{cos(x)sin^3(x)}{4}+ \frac{3}{4}  \int\limits sin^2(x)dx)&#10;

Use the following identify : sin^2(x) = \frac{1-cos(2x)}{2}

= 8(- \frac{cos(x)sin^3(x)}{4} + \frac{3}{4}  \frac{1}{2}(  \int\limits 1 - cos(2x)dx)

\int\limits 1dx = x

\int\limits cos(2x)dx =  \frac{1}{2} sin(2x)

Apply the sum rule :

=8(- \frac{cos(x)sin^3(x)}{4} + \frac{3}{4}  \frac{1}{2} (x- \frac{1}{2} sin(2x))

Simplify :

8( \frac{3}{8} (x- \frac{1}{2} sin(2x)) -  \frac{1}{4} sin^3(x)cos(x))

Therefore add  a constant  to the solution:

= 8 (  \frac{3}{8} (x- \frac{1}{2} sin(2x)) -  \frac{1}{4} sin^3(x)cos(x))+C

hope this helps!




3 0
3 years ago
Other questions:
  • Find the circumference of a circle with an area of 530.93
    6·1 answer
  • Find the equation of the line that satisfies the given conditions the y intercept is 3 and the x intercept is -1
    7·1 answer
  • How to find the size of an angle
    10·2 answers
  • How to find the long leg of 2√2 from a 30:60:90 triangle?
    10·2 answers
  • A sequence of numbers is given by the formula an= 2(-1.2)^n, where n is a positive integer. What is the probability that a rando
    8·1 answer
  • Find the equation of the axis of symmetry.<br>equation of axis of symmetry:​
    15·1 answer
  • SOMEONE PLSSS HELP ME ON NUMBER 7&amp; 8 PLSSSSSS
    11·1 answer
  • In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
    7·1 answer
  • I NEED HELP ASAP!!!!!
    12·1 answer
  • The diameter of Circle terminates on the circumference of the circle at​ (3,0) and (3,−7).. Write the equation of the circle in
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!