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
Gekata [30.6K]
3 years ago
7

Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?

Mathematics
2 answers:
denis23 [38]3 years ago
7 0

Answer:

A.) -4/5 and 3/4

Step-by-step explanation:

Gelneren [198K]3 years ago
4 0

Answer: The all possible rational roots are x=\pm1,\pm2,\pm3,\pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5}\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}.

Explanation:

The given polynomial is,

f(x)=20x^4+x^3+8x^2+x-12

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number,

x=\frac{p}{q}

Where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

All possible factor of -12 are \pm1,\pm2,\pm3,\pm4,\pm6,\pm12.

All possible factor of 20 are \pm1,\pm2,\pm4,\pm5,\pm10,\pm20.

So, the all possible rational roots of the given polynomial are,

x=\pm1,\pm2,\pm3,\pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5}\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}

You might be interested in
According to the Ruler Postulate, what does the set of points on any line correspond to?
Studentka2010 [4]
You answer will be real numbers
5 0
3 years ago
Read 2 more answers
PLEASE HELPPPPPThe height of 200 adults were recorded and divided into two categories
Mandarinka [93]

Add the total males together: 13 + 85 = 98,

So the total male need to be 98,

the total adults is given as 200.

The total women would be 200 - 98 = 102

The table with those three totals is table D.

5 0
3 years ago
Read 2 more answers
A circle in the standard (x, y) coordinate plane is tangent to the x-axis at 4 and tangent to the y-axis at 4. Which of the foll
irakobra [83]
The answer would be (A) <span>(x − 4)^2 + (y − 4)^2 =  16
</span>
7 0
3 years ago
On Tuesday morning, the temperature was recorded
VashaNatasha [74]
C. -2° :) hope this helps lmk!
6 0
3 years ago
Dawson practices soccer for 30 minutes each weekday. The expression 30x can be used to find the total number of minutes Dawson h
schepotkina [342]
I think it’s how many weekdays he’s practiced soccer so it’d be 30x x being the number of days!
7 0
3 years ago
Read 2 more answers
Other questions:
  • A proton moves along the x-axis with vx=1.0×107 m/s. As it passes the origin, what are the strength and direction of the magneti
    11·2 answers
  • Which equations are related equations to x+14=12x+14=12?
    7·1 answer
  • I WILL GIVE A FREAKING BRAINLIEST!!!!!!!!!!!
    6·1 answer
  • I need a help Whith Economic
    13·2 answers
  • Use the method of Gauss to find the sum.1+2+3+.....+400
    7·1 answer
  • Solve for x:<br> 2x+4=16
    13·2 answers
  • 72 in.= ______ yd.
    12·2 answers
  • 30 points. Pls help if you can. Will mark brainliest!! I need how you got the answer pls &lt;3 11) A box has Snickers, Milky Way
    6·1 answer
  • What’s is the difference of 9.37 and 1.6
    15·1 answer
  • Find the inverse of the function.<br> f(x) = 5x - 5<br> f^-1(x) = _____ √
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!