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
Ksju [112]
3 years ago
15

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

– 2x^4 + 9x^3 – x^2 + 12?
Mathematics
1 answer:
Reil [10]3 years ago
5 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

<u>Solution:</u>

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
What is equal to 13 centimeters.​
atroni [7]

Answer:

5.11811 inches

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Different ways in which intersect that cylinder and the cross section that results
irinina [24]
If it is perpendicular to the axis, then a circle. If it is at an angle, then an ellipse. If it is parallel to the axis, then two parallel lines. These aren't mine but I hope they help you
7 0
3 years ago
Find the diameter of each circle.
Vedmedyk [2.9K]

Answer:

<em>Diameter Length: ( About ) 5.4 km; Option B</em>

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

<em>radius = ( About ) 2.7</em>

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

<em>Diameter Length: ( About ) 5.4 km</em>

5 0
3 years ago
Hey I really need this done asap I will mark brainliest and rate 5 stars 50 Points to who ever can get me the answers please and
zavuch27 [327]
                      MUSTARD MAN
1) 16y+0=0  Identity Property Of Addition
2) d*r=r*d     Commutive property of multiplication 
3) 27a*0=0   Identity Property of Addition
4) 16x+5y=5y+16x  Commutive property of Addition
5) r*1=r   Identity property of Addition
6) (5y+2)+14x=5y+(2+14x)   Associate property of Addition 
7) (m*n)*p=m*(n*p)  Associate Property of Multiplication
Please use the information you have to make sure these are RIGHT!!!! 
-GENERAL OUT
4 0
3 years ago
How many times per year does the average american go to the movies
OlgaM077 [116]

Answer:

About 4 times per year.

Step-by-step explanation:

Research studies online.

5 0
3 years ago
Other questions:
  • Please help me on this question Algebra 1 question
    13·1 answer
  • If the spinner is spun twice, what is the probability that the numbers that are spun don't match?
    8·2 answers
  • △ABC is mapped to △A′B′C′ using each of the given rules.
    11·1 answer
  • How many quarts can be held in 19 gallons
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B80%29%5C%5C" id="TexFormula1" title="\sqrt{80)\\" alt="\sqrt{80)\\" align="absmiddle
    14·2 answers
  • What is the area of the triangle in cubic feet when x = 11?
    8·1 answer
  • althea started eating her dinner at 6:35pm and finshed eating at 7:03 pm.eastemated elapsed time actual elapsed time​
    15·1 answer
  • PLEASE HELP ME!!!!!!!! 30 POINTS PLEASE HELP ME!!!!!! IVE ASKED THIS QUESTION SO MANY TIMES!!!!!!!!
    6·2 answers
  • There are 6 triangles and 5 squares.<br> What is the ratio of squares to<br> triangles?
    13·1 answer
  • Plz help well mark brainliest if you are correct!!…
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!