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
kompoz [17]
3 years ago
6

Write a polynomial function of least degree with integral coefficients that has the given zeros

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

x^{4} + 3x² - 4

Step-by-step explanation:

Note that complex zeros occur in conjugate pairs

If 2i is a zero then - 2i is a zero

The zeros are x = 1, x = - 1, x = 2i, x = - 2i, thus the factors are

(x - 1), (x + 1), (x - 2i) and (x + 2i)

The polynomial is expressed as the product of the factors, thus

f(x) = (x - 1)(x + 1)(x - 2i)(x + 2i) ← expanding in pairs

     = (x² - 1)(x² - 4i²) → i² = - 1

     = (x² - 1)(x² + 4) ← distribute

     = x^{4} + 4x² - x² - 4

     = x^{4} + 3x² - 4

You might be interested in
A jet heads 60° north of east at 700 miles per hour. When the jet reaches a certain point, it encounters
alexandr1967 [171]
So what’s the question like I can’t see it :)
7 0
3 years ago
Can someone please answer some of my questions?<br> *They are all math
Step2247 [10]

Answer:

DA FA WERE ARE THE QUESTIONS?????????

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Witch fraction is equivalent to 4/20
Vinvika [58]

Answer:

2/10

Step-by-step explanation:

smart 'v'

3 0
3 years ago
Read 2 more answers
A company makes wax candles shaped like rectangular prisms. Each candle is 4 cm long, 3 cm wide, and 10 cm tall. If the company
MatroZZZ [7]

Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

6 0
3 years ago
4. The area of the rectangle shown is 200 square units. Find the value of x 1/2x + 5 x 8
Tomtit [17]

Answer:

x-intercept(s): (−80,0)

y-intercept(s): (0,40)

x and y (-80,40)

5 0
3 years ago
Other questions:
  • Please help !!! Need fast
    12·2 answers
  • What times what equals 80.73
    12·1 answer
  • Mr. Flores charges $ 530 for car repairs to his credit card, which charges no interest if
    13·1 answer
  • What is the simplest form of this expression y(-6y^3-8)+y^4
    13·2 answers
  • Plz Help and Thank you :/
    8·1 answer
  • The perimeter of a rhombus is 84 inches. What is the length of each side of the rhombus? Explain
    9·1 answer
  • 67+46 <br> Find the solution and model how you found your answer
    8·1 answer
  • The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
    5·1 answer
  • Help pls will give brainliest
    5·1 answer
  • Plz help me I need this
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!