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
Mazyrski [523]
2 years ago
10

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5

Mathematics
1 answer:
nata0808 [166]2 years ago
6 0

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

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

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

You might be interested in
find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x, y) point. y = -3x^2 + 48
77julia77 [94]

Answer:(8,-3)

Step-by-step explanation:

8 0
3 years ago
Find the slope of the line - type you answer AS A WHOLE NUMBER (NO fraction)
n200080 [17]

Answer:

2/1

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A number 1-30 is randomly selected, followed by a letter from the word TARGET. What is the probability of choosing a perfect squ
Nataliya [291]
Answer: 1/18 or .056
Explanation: There are 5 perfect squares between 1-30. (1,4,9,16,25) 5/30=1/6. The probability of getting a T in TARGET is 2/6=1/3 1/3*1/6=1/18
3 0
3 years ago
Help! 50 points.....................
Elena L [17]
I need to be able to see the screen better
5 0
3 years ago
Read 2 more answers
Solve this question 2√8+√8<br> A. 3√8 <br>B.24 <br>C.16√8<br> D.2√8
Lisa [10]

Answer:

Simplify each radical, then combine.

3√8

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

6 √ 2 = 3√8

4 0
3 years ago
Read 2 more answers
Other questions:
  • How would I solve this
    7·1 answer
  • A researcher uses an anonymous survey to investigate the study habits of American college students. Based on the set of 56 surve
    15·1 answer
  • A scale drawing for a rectangular parking lot measures 6 cm by 12 cm. The scale is 5 cm: 25 m. Find the area of the parking lot.
    13·1 answer
  • Find the perimeter and area of following rectangle
    10·1 answer
  • Please help with the top 3 i’ll give u brainliest, what is the volume of the figures below?
    8·1 answer
  • Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equati
    12·1 answer
  • Solve each triangle round to answers to the nearest tenth
    13·1 answer
  • Having a hard time with this
    5·1 answer
  • Please answer the following questions only 5. 7. 8. 10. 11. and 12.
    11·1 answer
  • Solve for x if x+3.5=4 1/3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!