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
VMariaS [17]
2 years ago
7

The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below. On a coordinate plane, a graph of a function is in all four quadrants. It

has 2 minimum curves at (1. 5, negative 4) and (1. 5, negative 4). It has a maximum curve at (0,6) and crosses the x-axis 4 times. How many roots of f(x) are rational numbers? 1 2 4 6.
SAT
1 answer:
kondaur [170]2 years ago
7 0

Answer:

There are two rational roots for f(x)

Explanation:

We are given a function

f(x) = x^6-2x^4-5x^2+6f(x)=x6−2x4−5x2+6

To find the number of rational roots for f(x).

Let us use remainder theorem that when

f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.

Substitute 1 for x

f(1) = 1-2-5+6=0

Hence x=1 is one solution.

Let us try x=-1

f(-1) = 1-2-5+6 =0

So x =-1 is also a solution and x+1 is a factor

We can write f(x) by trial and error as

f(x) = (x-1)(x+1)(x^2-3)f(x)=(x−1)(x+1)(x2−3)

We find that f(x) (x^2-3)f(x)(x2−3) factor gives two irrational solutions as

±√3.

Hence number of rational roots are 2.

You might be interested in
Which of the following is an example of an objective measure used by functionalists?
Luba_88 [7]
It’s hard to count on peoples easily with many other
5 0
3 years ago
Read 2 more answers
What must be the value of x so that lines c and d are parallel lines cut by transversal p? 12 18 81 99.
polet [3.4K]

Answer:18

Explanation:

5 0
2 years ago
Spiritual death came immediately upon Adam and Eve after their disobedience. True False
pentagon [3]
True i think, i searched up on wikipedia to see how they died, but it didn’t clarify anything.
4 0
3 years ago
Read 2 more answers
My boy love plize of me
allsm [11]

Answer:

Explanation:

oki

????????

7 0
2 years ago
Read 2 more answers
Which of these is NOT a function of dna polymerase
ira [324]
What is the function of DNA polymerase?The main function of DNA polymerase is to synthesize DNA from deoxyribonucleotides, the building blocks of DNA. The DNA copies are created by the pairing of nucleotides to bases present on each strand of the original DNA molecule.

I'm not sure what is not a function of dna polymerase but I know what is
8 0
3 years ago
Other questions:
  • In a polar, covalent bond, why might one area of a molecule be more negative then others of the molecule
    15·1 answer
  • Signing up for an IT course where others set the learning goals is an example of what kind of learning?
    15·2 answers
  • A
    5·1 answer
  • Find the pattern of the rows in the table and determine the missing number.
    8·2 answers
  • Yesterday, the temperature at noon was 11. 4℉. By midnight, the temperature had decreased by 15. 7 degrees. What was the tempera
    6·1 answer
  • When readers make a(n) , they are drawing a conclusion based on evidence.
    12·2 answers
  • What is the most likely conclusion that can be drawn about how this table would look in december 2013?it would look the same bec
    7·1 answer
  • In the 1980s, british researchers demonstrated that a human gene could be inserted into the cells of a particular strain of yeas
    8·1 answer
  • What is the best response to the following question? ¿qué debo hacer cuando tengo tos? debes vomitar. debes tomar medicina. debe
    8·2 answers
  • How many liters each of a 50% acid solution and a 75% acid solution must be used to produce 90 liters of a 60% acid solution? (R
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!