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
musickatia [10]
2 years ago
8

What is the quotient (6x4+15x3+10x2+10x+4) ÷ (3x2 + 2)?

Mathematics
1 answer:
Elza [17]2 years ago
3 0
We want to evaluate
\frac{6x^{4}+15x^{3}+10x^{2}+10x+4}{3x^2+2}

Perform long division
                                  2x²  + 5x  + 2
           ----------------------------------------
3x²+2 | 6x⁴ + 15x³ + 10x² + 10x + 4
             6x⁴ +             4x²
           ----------------------------------------
                      15x³ + 6x² + 10x + 4
                      15x³           + 10x
            ---------------------------------------
                                6x²           + 4
                                6x²           + 4

Answer: 2x² + 5x + 2

You might be interested in
Find the average rate of change over the given interval:<br><br> f(x) = 3^x, [1, 4]
GREYUIT [131]
\bf slope = m = \cfrac{rise}{run} \implies &#10;\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby &#10;\begin{array}{llll}&#10;average~rate\\&#10;of~change&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;f(x)= 3^x  \qquad &#10;\stackrel{[1,4]}{\begin{cases}&#10;x_1=1\\&#10;x_2=4&#10;\end{cases}}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{3^4~-~3^1}{3}&#10;\\\\\\&#10;\cfrac{81-3}{3}\implies \cfrac{78}{3}\implies 26
3 0
2 years ago
Use the function f(x) to answer the questions.
fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B.  As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) =  −16x2 + 24x + 16

=  -16(x^2 - 1.5x) + 16

Completing the square on  contents of the parentheses:

= -16 [(x - 0.75)^2  - 0.75^2] + 16

= -16(x - 0.75)^2  - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

3 0
2 years ago
A sales associate at a local Boutique sold a jacket for $200 less a 10% discount what is the discount on the jacket
Nikitich [7]
It's probably $190 I hope this helped you
3 0
2 years ago
What is the reciprocal of 1/3 ? Enter your answer in the space below, using a slash mark (/) as a fraction bar when needed.​
MrRa [10]

Answer:

3/1 = 3

Step-by-step explanation:

reciprocal of 1/3 = 3/1

Hope it helps you in your learning process.

8 0
3 years ago
Horatio drew a circle with a radius of 6x cm. Kelli drew a circle with a radius of 18y cm. What is the scale factor between thes
jasenka [17]
I believe the answer Is A.x/3y.
5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the sum of five and four ninths and seven and five ninths
    7·2 answers
  • If the area of a circle is 43 cm2, how much is the radius?
    5·1 answer
  • Can someone please help me?!!! And Answer these!! I have to get this done but I can’t do the test right now I don’t have interne
    9·1 answer
  • How many different ways can the first 10 letters of the alphabet be arranged?
    12·1 answer
  • Precalculus PLEASE HELP Math
    9·1 answer
  • A point has coordinates (0, 3). Where is it located in the coordinate plane?
    13·1 answer
  • A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangul
    7·2 answers
  • Plz answer asap it’s due
    6·2 answers
  • How do you solve for x
    7·2 answers
  • IXL -8th grade math W.14
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!