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
Tems11 [23]
3 years ago
10

Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±

12 ±2 ±52 ±25
Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

ANSWER


The possible rational roots are:


\pm\frac{1}{2},\pm2,\pm \frac{5}{2}


EXPLANATION


According to the rational root theorem, the possible rational roots of the polynomial,



4x^3+9x^2-x+10=0


are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.



Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.



For

\pm\frac{1}{2}, we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.


The same thing applies to \pm2,\pm \frac{5}{2} also.


As for


\pm \frac{2}{5}, 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.


You might be interested in
Is -2 a solution of the inequality -2x + 5 &gt; 9?<br> A. yes<br> | B. no
kramer

Answer:B

Step-by-step explanation:

-2x+5>9

-2x>4

-x>2

x<-2

3 0
3 years ago
Pls help I need this now
miv72 [106K]
The answer is A to your question
4 0
2 years ago
(32 - 2) ÷ 15 + 22 I don't know how to do this
Rus_ich [418]

Answer:

its 24 hope this helps

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If you drive 23 miles south, make a turn and drive 39 miles east, how far are you, in a straight line, from
Rom4ik [11]

Answer:

45.27 miles

Step-by-step explanation:

Pythagorean theorem

23^2 + 39^2 = d ^ 2

d = 45.27 miles

6 0
2 years ago
What does 144 =to for a squared
Dafna11 [192]
12 *12 = 144

Therefore 12^2 = 144
5 0
3 years ago
Read 2 more answers
Other questions:
  • The quotient of 9 times an unknown number and 16 is 81. What is the value of the unknown number?
    10·2 answers
  • Can someone please help <br>and explain :))​
    14·1 answer
  • If u have 18 dollars and u have 6 cookies how would one cookies cost
    12·2 answers
  • I need help with 4 plz
    13·2 answers
  • Please help me with this math problem
    10·1 answer
  • 6. A store orders 8 boxes of notebooks.
    15·1 answer
  • What is the difference between -6 and 4
    12·2 answers
  • Different measurements are expressed in different units. Choose the correct SI units for the following types of measurement.
    5·2 answers
  • What is the slope of this equation? y=8-x
    12·1 answer
  • Which number line best represents he solution to the inequality -18x +3 &lt;48?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!