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
BigorU [14]
3 years ago
12

What are the possible rational roots of the polynomial equation? 0=2x7+3x5−9x2+6

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer: \pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0

Where:

- The coefficients are integers.

- a_n is the leading coeffcient (a_n\neq 0)

- a_0 is the constant term a_0\neq 0

Every rational root of the polynomial is in the form:

\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}

For the case of the given polynomial:

2x^7+3x^5-9x^2+6=0

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

You might be interested in
A rectangular prism has a length of 11ft, a height of 4ft, and a width of 3ft. What is its volume, in cubic ft?
finlep [7]
132 ft cubed! hope this helps!
3 0
2 years ago
(1+x^2)dy/dx+2xy-4x^2=0 bu using Bernoulli's Equation
erastovalidia [21]
Not of Bernoulli type, but still linear.

(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy=4x^2

There's no need to find an integrating factor, since the left hand side already represents a derivative:

\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy

So, you have

\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=4x^2

and integrating both sides with respect to x yields

(1+x^2)y=\displaystyle\int4x^2\,\mathrm dx
(1+x^2)y=\dfrac43x^3+C
y=\dfrac{4x^3}{3(1+x^2)}+\dfrac C{1+x^2}
7 0
3 years ago
6. An urn contains 15 red balls and 8 blue balls. In each draw, one ball is extracted at random. It is then returned to the urn,
Leviafan [203]

Answer:

P(C4) = 0.0711

Step-by-step explanation:

consider the first draw = 15/23  since it cannot be a blue ball

The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn

the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn

therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41

Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41

P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )

= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711

8 0
3 years ago
If the timer was started at the begining if the race would it affect the median. Why, not?
Ilia_Sergeevich [38]
Yeah It Would

~Hope This Helps :)
Need More Help With Question Just Inbox Me 
Also Rate, Give Thanks, And Mark As Brainiliest. 
Thank You ;) 
7 0
3 years ago
my 4th time another hunnid points easy right cmon now Your weclome! Cmon dont be rude i just helped you why dont you do me a fav
frosja888 [35]

Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️

6 0
3 years ago
Other questions:
  • Why did the music teacher need a ladder
    11·2 answers
  • The function f(x) is represented by this table of values .Match average rate of change of f(x) with corresponding intervals
    6·1 answer
  • 125% of a number is 65. Find the number
    11·2 answers
  • What is the definition of algebra and give one example of an algebraic problem.
    10·2 answers
  • Maten forgot some of her 12 facts. She wants to find 6x12 , but all she can remember is 5x12=60 . How could she use the fact 5x1
    14·1 answer
  • Billy collects marbles. Each marble in his collection weighs about 4 ounces. His collection weighs about 20 pounds in all. About
    6·1 answer
  • 4) Name The Angle Pair Represented And Solve For x. *<br> 37°<br> (6x - 11)
    7·1 answer
  • The curved surface area of a cylinder is
    14·1 answer
  • Describe what would happen if he only had $20 available on each payment method and tried to buy a hammer worth
    10·1 answer
  • A beetle was running along a number line, Then the bug ran from 28 to 78. What distance did it cover? If this run took the bug 9
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!