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
Andrei [34K]
2 years ago
9

PLEASE HELP! 100 POINTS PLUS BRAINLIEST!! ONLY REAL ANSWERS PLS!!

Mathematics
2 answers:
julsineya [31]2 years ago
7 0

Answer:

See below.

Step-by-step explanation:

2a.

If a polynomial equation with real coefficients has imaginary roots, then the roots must be pairs of complex conjugate roots.

If -4i is a root, then 4i must be a root, too.

2b.

The roots of a polynomial equation can be written as first degree binomial factors, which when multiplied together will give you the polynomial.

For roots <em>a</em> and <em>b</em>, the first degree binomials are <em>x - a</em> and <em>x - b</em>.

Here the roots are -4i and 4i, so the binomials are x + 4i and x - 4i. Their product will give us the quadratic polynomial.

(x + 4i)(x - 4i) =

This is the product of a sum and a difference wuich gives the difference of two squares.

= x^2 - (4i)^2

= x^2 - 16(-1)

= x^2 + 16

SIZIF [17.4K]2 years ago
6 0

Least possible degree of polynomial = 5

Step-by-step explanation:

Here we have solutions -5, 1 + 4i, and -4i.

The solutions are 1 real and 2 imaginary.

Real solutions may or may not be with pair.

We know that complex solutions comes with two solutions a + ib and a - ib

So the all solutions of the polynomial are

 -5 , 1+4i, 1-4i, -4i, and 4i

So minimum 5 solutions are there for this polynomial.

Polynomial with 5 solutions are of degree 5.

Least possible degree of polynomial = 5

You might be interested in
Kasey are u online plz reply me 208x492​
galben [10]

Answer:

102336

Step-by-step explanation:

Im bored

8 0
3 years ago
Read 2 more answers
Parallel to y - 2x = 4 and passes through (0,5)
wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

4 0
2 years ago
What is 6.4 × 10−8 mi/day in feet per hour? (1 mi = 5280 ft)
oee [108]
The correct answer is B 1.408 × 10^−5 ft/h <span>
</span>
8 0
3 years ago
What is 12/16 reduced?
levacccp [35]
3/4
You can divide both of them by 4. 12/4= 3 and 16/4= 4 Youre welcome
3 0
3 years ago
Read 2 more answers
Name the coordinates of the points
arsen [322]

Answer:

D(-3,3)

E(3,-2)

F(-3,-2)

3 0
3 years ago
Read 2 more answers
Other questions:
  • A project has a 50% chance of doubling your investment in 1 year and a 50% chance of losing half your money. what is the expecte
    13·1 answer
  • Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues. 2, 9, 16, 23
    14·2 answers
  • rectangle ABCD is graphed in the coordinate plane. the following are the vertices of the rectangle: A(-6,-4) B(-4, -4), C(-4, -2
    10·1 answer
  • A group of children share 11 3/7 vegetarian pizzas. Each child receives 10/14 of a pizza. How many children are in the group
    7·1 answer
  • A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 28 and a standard deviati
    5·1 answer
  • Please answer this question only if you know it!
    11·1 answer
  • Help you don’t have to explain
    14·1 answer
  • Alyssa spent $15 at the mall yesterday. She now has $30 left in her purse.
    9·1 answer
  • Evaluate the expression 6^2-(8–4^2+7
    6·2 answers
  • The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the ot
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!