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
Viktor [21]
3 years ago
8

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –

2x4 + 9x3 – x2 + 12?
A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12
B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x
C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3
D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48
Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0
<span>According to the Rational Root Theorem, </span><span>f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12 has the same set of potential rational roots as the function </span>g(x) = 3x^5 – 2x^4 + 9x^3 – x^2 + 12

SVETLANKA909090 [29]3 years ago
4 0

We have to identify the function which has the same set of potential rational roots as the function g(x)= 3x^5-2x^4+9x^3-x^2+12.

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Consider the first function given in part A.

f(x) = 3x^5-2x^4-9x^3+x^2-12

Here also, Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

You might be interested in
Help me on this please:(
Dima020 [189]

Answer:

3:20   3/20   3.20

Step-by-step explanation:

4 0
3 years ago
Which of the follwing is correxr
agasfer [191]

Answer:

the equation has infinitely amny solutions

3 0
2 years ago
If you could be a doll and help me, that would be wonderful :)
NikAS [45]
The answer to this question of yours is B
7 0
3 years ago
*<br> The value of x is:<br> a) 4.2<br> b) 14<br> c) 18<br> d) 313<br> 4<br> 12
Lana71 [14]

Answer:

do you have pictures that I can see

3 0
3 years ago
Sally must have at least $200 in her savings account to avoid a
xxMikexx [17]

Answer:

675$

Step-by-step explanation:

got it right

7 0
2 years ago
Other questions:
  • Mandy has $20 in a savings account the interest rate is 10% per year and is not compounded. how much will she have in one year.
    12·1 answer
  • Robin is making bows to sell at her mothers yard sale. She will use 3/4 foot of red ribbon and 2/3 foot of blue ribbon. What is
    13·1 answer
  • Help me plz i don't get it
    13·1 answer
  • Each week Quentin earns $30. If he saves this money, create a graph that shows the total amount of money Quentin has saved from
    13·1 answer
  • Reduce To Simplest Form.<br><br>8/6 + (-9/5) =​
    10·2 answers
  • A sequence of numbers begins with 12 and progresses
    13·2 answers
  • A point has the coordinates (0,k).
    11·1 answer
  • A rectangular garden that is 11 feet wide. the length of the diagonal is 1 foot greater than the length of the garden. what is t
    11·1 answer
  • ?? ---&gt;<br><br>35 - 14 ÷ 2 + 8 to the 2nd power​
    10·1 answer
  • Harry has $10 in his bank account, and he adds $2 every week. based on this information, which representation best shows the rel
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!