answer.
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
spayn [35]
2 years ago
5

What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

Mathematics
2 answers:
MrRa [10]2 years ago
8 0

Answer:

Quotient: 2x^2+x-3

Please see the attachment.

Step-by-step explanation:

Given: (2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of 2x^4 by x^2

x^2-2x+1 ) 2x^4-3x^3-3x^2+7x-3 ( 2x^2+x-3

                 -2x^4+4x^3-2x^2

                              x^3-5x^2+7x

                               -x^3+2x^2-x

                                      -3x^2+6x-3

                                      3x^2-6x+3

                                              0

Hence, The quotient of division is 2x^2+x-3

Nat2105 [25]2 years ago
5 0

Here you have two polynomials:

1. The dividend - f(x)=2x^4 - 3x^3 - 3x^2 + 7x - 3

2. The divisor - g(x)=x^2 - 2x + 1.

Since divisor is perfect square g(x)=x^2 - 2x + 1=(x-1)^2, you should check what is the quotient after division f(x) by (x-1):

f(x)=2x^4 - 3x^3 - 3x^2 + 7x - 3=(x-1)(2x^3-x^2-4x+3)=(x-1)(x-1)(2x^2+x-3)=(x-1)^2(2x^2+x-3)=g(x)(2x^2+x-3).

Then the quotient is 2x^2+x-3.

You might be interested in
Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
Free_Kalibri [48]

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

6x-36=96\\ \\6x=96+36\\ \\6x=132\\ \\x=22

6 0
2 years ago
Read 2 more answers
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
sarah has a solid wooden cube with a length of 4/5 centimeter. from eaxh of its 8 corners, she cuts out a smaller cube with a le
faltersainse [42]
First, calculate for the volume of the cube before each edges are cut.
                                    V = e³
where e is the length of each sides. Substituting the known value,
                                   V = (4/5 cm)³ = 0.512 cm³

Then, calculate for the volume of each of the small cubes cut out from the corners.
                                   V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
                                       8V = 8(0.008 cm³) = 0.064 cm³

Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
5 0
2 years ago
Read 2 more answers
2x+5y=-6 , wht is the x intercept, what is the y intercept
Arlecino [84]
These are the <span>xx</span> and <span>yy</span> intercepts of the equation <span><span>2x−5y=6</span><span>2x-5y=6</span></span>.x-intercept: <span><span>(3,0)</span><span>(3,0)</span></span>y-intercept: <span>(0,−<span>65</span><span>)

</span></span>
7 0
2 years ago
A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
Other questions:
  • What integer is equivalent to 25 3/2
    6·2 answers
  • Find the point on the terminal side of θ = pi divided by four that has an x coordinate of 2.
    8·1 answer
  • The density of a fish tank is 0.4fish over feet cubed. There are 12 fish in the tank. What is the volume of the tank?
    14·2 answers
  • A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
    15·2 answers
  • The following data show the scores Gina obtained on 12 IQ tests:
    12·2 answers
  • Ellen is downloading a file. After 2 minutes, there are 38.4 megabytes left to download. After 8 minutes, there is only 9.6 mega
    14·2 answers
  • Triangle ABC is translated to image A’B’C’. In this translation, A(5, 1) maps to A’(6,-2). The coordinates of B’(-1,0). What are
    5·2 answers
  • Flights from Miami for New York City are delayed 27% of the time. How likely is it that a particular traveler's flight from Miam
    7·1 answer
  • W(t)W, left parenthesis, t, right parenthesis models the daily water level (in \text{cm}cmstart text, c, m, end text) at a pond
    12·2 answers
  • Help please <br> If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!