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
Paha777 [63]
2 years ago
10

Find a polynomial function of degree 3 with 2, i, -i as zeros.

Mathematics
1 answer:
Simora [160]2 years ago
5 0

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

You might be interested in
Given that sin(x)= 7/11, find cos(90-x)
marta [7]
Yes indeed it is 7/11
6 0
3 years ago
Jada and Marcel collect Pokemon cards. Marcel has three times as many cards as Jada. Between them they have 80 cards. How many c
Law Incorporation [45]
Maybe tomorrow in the butt
5 0
2 years ago
What is the constant in the equation y=2.7x​
kirill [66]

Answer:

The constant is 2.7. This number never changes.

5 0
3 years ago
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Misha Larkins [42]

Answer:

Imaoo

Step-by-step explanation:

answer: C

4 0
2 years ago
Read 2 more answers
A cross country team is made up of 65% male runners. What fraction of the team is male?
Nikitich [7]
Percentage is the same as a fraction over 100, where the number 100 represents a 'whole'.

Therefore, if 65% are male, it means if there were 100 runners in total, 65 of them would be male, so your fraction would be 65/100.

However, you can simplify this fraction as both 65 and 100 have common factors. So you keep dividing both numbers by its factors until there are no more common factors left. This will leave you with 13/20.

Therefore your final answer is 13/20.
5 0
3 years ago
Other questions:
  • Find the volume of the cylinder <br> A-16990<br> B-8491<br> C-4247<br> D-2369
    6·1 answer
  • The isaacs live m miles from Cooperstown and they drive 30 miles while they are in the town. Write an algebraic expression using
    5·1 answer
  • The shirt was $7.45 he pays with a $20 how much he getting back
    5·1 answer
  • Help in this question please?
    10·1 answer
  • I need help with #10 please
    11·1 answer
  • 3 times a number is 54 less than the square of that number. Find the positive solution.
    9·1 answer
  • What is the percent of decrease from 300,000 to 30,000?<br> please answer quick.
    15·1 answer
  • Q6. Solve
    5·2 answers
  • 3x2 + 7x for x =2<br> Solve
    13·2 answers
  • NEED HELP ASAP WILL MARK BRAINLIEST!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!