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
mixer [17]
1 year ago
9

What is the polynomial function of lowest degree with rational real coefficients and roots 2 and squared root 5?

Mathematics
1 answer:
Natalija [7]1 year ago
8 0

The polynomial having the above quantities is expressed as x³ - 2x² - 5x + 10 = 0

The above situations will form a Cubic polynomial. A Cubic polynomial function may be defined as an expression which can be written in the form of ax³ + bx² + cx + d = 0 where a, b, c and d are coefficients and x is the independent variable. Since, the polynomial should have real coefficients so its multiplicity will be equal to 1. Now, the roots of the polynomial are given as 2 and √5. Since, square roots always occur in pair so the polynomial will have -√5 as its root. Now, the polynomial formed will be

(x - 2) (x - √5) (x + √5) = 0

(x - 2) (x² - 5) = 0

x³ - 5x - 2x² + 10 = 0

=> x³ - 2x² - 5x + 10 = 0 which is the required polynomial.

Learn more about Polynomial at:

brainly.com/question/11911893

#SPJ1

You might be interested in
PLEASE HElP WILL GIVE BRAINLIEST
marusya05 [52]

Answer:

there u go sweetie

Step-by-step explanation:

hope it helps

3 0
3 years ago
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e
3241004551 [841]

Radius = r = 1 foot

Angular velocity = w = 1 revolutions in 4 seconds

So,

w = 0.25 revolutions per second

Since,

1 revolution = 2π radians

We can write the above equation as:

w = 0.25 x 2π radians per second = 0.5π radians per second

Linear Velocity = v = r w

Using the values, we can write:

v = 1 x 0.5π  

= 0.5 π

= π/2 feet per second

Therefore, the correct answer is option B

7 0
2 years ago
Read 2 more answers
Describe a relationship in which one quantity increases as another quantity decreases
Morgarella [4.7K]
Inversely proportional
4 0
3 years ago
Assessment
Rina8888 [55]
Axis of symmetry for this function will be x=2 because your origin point is always the reference for the line of symmetry. In this case, it as been shifted to the right 2 units giving you x=2. Firstly, the transformation is a horizontal stretch by a factor of 10. Secondly, it is shifted 2 units to the right and finally shifted 7 units down. Remember when a constant is added or subtracted to x in a function, it is shifted the number of u its opposite of the constant. When there is a constant separate from x, such as outside parentheses or absolute value bars, it is shifted up or down the given amount.
7 0
3 years ago
ACTIVITY
marin [14]

Answer:

4 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:

(Total wide of the wall - wide of the painting) / 2 = X

(12 - 4) / 2 = X

8/2 = X

4 = X

Therefore, 4 feet of wall should be on each side of the painting.

7 0
3 years ago
Other questions:
  • Please help quick im offering 10pts and brainliest answer
    9·1 answer
  • Geometry B problem!!!
    6·1 answer
  • An exponential function is the inverse of a logarithmic function.<br> A)True<br> B)False
    14·2 answers
  • What properties does a square have in common with a quadrilateral?
    5·1 answer
  • 6 - 8x = 5x - 10x + 12<br> Please help I suck at math thank you
    10·2 answers
  • Which property is shown in the following statement?
    12·1 answer
  • !!!*BRAINLIEST*!!!
    10·2 answers
  • The coordinates of point R are (-4, -3).
    7·2 answers
  • 3abc<br> What is the coeficient of c?
    7·1 answer
  • What is a 120% increase?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!