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
Black_prince [1.1K]
3 years ago
12

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

Mathematics
2 answers:
notsponge [240]3 years ago
6 0

<u>Answer-</u>

\boxed{\boxed{\frac{7}{3}}}

<u>Solution-</u>

Rational Root Theorem-

f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0

All the potential rational roots are,

=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})

The given polynomial is,

f(x) = 9x^8 + 9x^6-12x + 7

Here,

a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7

The potential rational roots are,

=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}

=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}

From, the given options only \frac{7}{3} satisfies.

Sati [7]3 years ago
3 0
It is D. 7/3 because the rational root theorem states that when a root 'x' is written as a fraction x = p/q in lowest terms, <span><span>p is an integer factor of the constant term (i.e. 7), and </span><span>q is an integer factor of the coefficient of the first monomial (i.e. 9x^8).</span></span>
You might be interested in
Round 392 to the nearest ten
Bezzdna [24]
Nearest 10 is according to the last digit.
if the digit is >5, it +1 to the tenth digit. If it's <5, it will be reduced to 0.

for your case, 392, 2 < 5, therefore rounded up to nearest tenth is 390.
5 0
3 years ago
Read 2 more answers
2. Solve the equation.<br> (50 Points)<br> * =<br> + 9 = 30<br> Enter your math answer
barxatty [35]

Answer:

x= 42

Step-by-step explanation:

x/2+9=30

x+18=60

x=60-18

x= 42

5 0
3 years ago
Read 2 more answers
Is the given value a solution of the inequality​
dsp73

Answer:

35 <5m

35/5 < 5m/5

7 < m

m = 8,9,10,11,12,.......

a + 6 \geq 9

a + 6 - 6 \geq 9 -6

a  \geq 3

a = 3,4,5,6,7,......

8-g > 5

8 -g +g > 5 +g

8 > 5 +g

8 -5 > 5 -5 +g

3 > g

g =4,5,6,7,8.......

Step-by-step explanation:

7 0
2 years ago
What do I do I’m lost I need help?
ale4655 [162]

Answer:

27

Step-by-step explanation:

the sequence is 4 added to each number. 4 added to 23 is 27

8 0
2 years ago
Read 2 more answers
-3/5x - 7/20x + 1/4x= -56
romanna [79]

Answer:

x = 80

Step-by-step explanation:

Combine − 3/5x and 7/20x to get -19/20x.

Then combine -19/20x and 1/4x and you get -7/10x.

Then you multiply both sides by -10/7 which is the reciprocal of -7/10.

Make -56(-10) one fraction.

Multiply -56 and -10 and you get 560.

Then divide 560 by 7 to get 80.

 

​  

8 0
3 years ago
Read 2 more answers
Other questions:
  • North shore community college reimburses faculty members $.298 cents per mile to go to a workshop. professor wells submitted her
    8·1 answer
  • Each week, Abigail earns $75 for every shift she works at the pizzeria and $25 for every dog-walking job. She uses the expressio
    8·2 answers
  • Julie bought a drink for $2.99, two bags of chips for $1.29 each, and some gasoline at a convenience store. The price of gasolin
    12·1 answer
  • PLEASEHELP ME 98 POINTS AND BRAINLIEST TO THE FIRST PERSON
    7·1 answer
  • 0.1875 rounded to the nearest hundredth
    8·2 answers
  • Can you please help me?​
    12·1 answer
  • Jesse stops by the grocery store to
    11·1 answer
  • Please help me in this
    8·1 answer
  • What is 87 x (495 - 475) + 1084 - 864
    5·1 answer
  • Determine what type of model best fits the given situation: A. none of these B. exponential C. linear D. quadratic
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!