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
Gnoma [55]
3 years ago
7

Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number.

Mathematics
2 answers:
Alona [7]3 years ago
8 0

Answer:

The required polynomial is x^3-2x^2+x-2        

Step-by-step explanation:

Given : A polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number.

To find : The equation of polynomial with degree 3.

Solution :

It is given that the equation has 3 roots one is 2 and othe is imaginary.

So, one root 2 = (x-2)

Let the other two roots are imaginary i, -i

⇒ (x-i),(x+i)

Therefore, the roots of the polynomial of degree 3

(x-2)(x-i)(x+i)

Now, we solve the roots to find the equation,

\Rightarrow(x-2)(x^2+xi-xi-i^2)

\Rightarrow(x-2)(x^2+i^2)  [i^2=-1]

\Rightarrow(x^3+x-2x^2-2)

\Rightarrow x^3-2x^2+x-2  

Therefore, the required polynomial is x^3-2x^2+x-2  

Sveta_85 [38]3 years ago
5 0
 hope you get it 

X^3-2x^2+ x-2

You might be interested in
of all the students in class, 1/5 of them walk to school. What percent of students in the class walk to school
bagirrra123 [75]

Answer:

20%

Step-by-step explanation:

1/5 is the same as 2/10

2/10 is the same as 0.2

0.20 is the same as 20%


=) u got it!

7 0
3 years ago
Read 2 more answers
What is the value of x in the equation 3.5x = 105
levacccp [35]

Answer:

x=30

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

105/3.5=30

4 0
2 years ago
Which of the following functions is graphed below? Please i need help!!!
artcher [175]

Answer: A

Step-by-step explanation:

If you look only at the ranges provided for x A is the only one that fits the graph. The domain of the first function (x^3-3) is everything equal to or less than 2. The equal to is represented by the closed circle at point (2,5) which represents that this value is included for that function. The other function continues on with values greater than 2, but does not include the x value 2 as it has an open circle at point (2,10).

8 0
3 years ago
Toby has a suitcase. The suitcase’s length is 5 inches and the width is 8 inches. Find the area of a suit case.
WARRIOR [948]

Step-by-step explanation:

area = lenght × breadth

area = 5×8

area = 40

3 0
2 years ago
Read 2 more answers
Please help solve!!!!!!!!!!
Deffense [45]

Answer:

Height = 17.31821 feet

Step-by-step explanation:

<u><em>Explanation</em></u>

<u><em>From graph</em></u>

Given angle θ = 6.5°  and a = 152 feet

we need to find the height (h)

By using the tangent rule

                   tan \alpha = \frac{opposite side}{adjacent side}

                  tan 6.5 = \frac{b}{152}

    Cross multiplication , we get

               b = 152 × tan 6.5°

               b = 152 × 0.113935

              b = 17.31821 feet

Height = 17.31821 feet

6 0
3 years ago
Other questions:
  • How many pairs of whole numbers have 75 as their product <br><br> Show your work
    10·1 answer
  • the rectangular metallic block is 30cm long ,25cm broad and8cm high.how many pieces of rectangular slices each of 5mm thick can
    7·1 answer
  • Is 7,434 divisible by 6 true are false
    5·1 answer
  • How do I work this out
    11·1 answer
  • Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi
    10·1 answer
  • The graph shows the relationship between the total cost,
    8·1 answer
  • What is the range of the function?
    8·1 answer
  • Plssssss help meh with this
    14·2 answers
  • A school librarian ordered new books for the library. Of the new books ordered 1/3 are science 2/5 are biography and the rest of
    11·1 answer
  • I'm doing a math for summer school, and i don't know what this means.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!