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
dmitriy555 [2]
1 year ago
11

2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.

Mathematics
1 answer:
inna [77]1 year ago
3 0

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

You might be interested in
The birth weights for twins are normally distributed with a mean of 2353 grams and a standard deviation of 647 grams. use​ z-sco
kirill [66]
I think that the answer is B
6 0
3 years ago
Read 2 more answers
The blue segment below is a diameter of O. What is the length of the radius of the circle?
nexus9112 [7]

Answer: Option D :3.85 units.


Step-by-step explanation: Diameter is the longest chord of any circle . It is a straight line passing through the center of the circle and touches the circle at two points. Radius is a line  drawn from the center of circle to the circumference. Radius is half of diameter.In the given figure the blue line is diameter  .The diameter is the blue line which equals 7.7 units.Radius is half of diameter .Radius = 7.7÷2=3.85 units.

Option D is the right answer.


8 0
3 years ago
Read 2 more answers
Which graph best represents y= -x 2 + 2
nydimaria [60]

Answer:

Step-by-step explanation:

Is this y=-x^2 +2?

Here is the graph, in the photo.

Hope you understand

6 0
3 years ago
Please answer this correctly
lozanna [386]

Answer:

no it to low

Step-by-step explanation:

the answer was 4998

8 0
3 years ago
Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd
dybincka [34]

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

8 0
3 years ago
Other questions:
  • F(x)=-2x^4+13x^3-25x^2+8x+12
    9·1 answer
  • Find the output, g, when the input, r, is 3.<br> g = -5r+13<br> g=_____
    7·1 answer
  • Multiply.<br> 2x(x2 + 2x - 6)
    5·2 answers
  • If U=the set of natural numbers and A={4,6,8,10,12..} find A’
    12·1 answer
  • Please help me. I don’t understand this at all...
    13·1 answer
  • Compute​ P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
    5·1 answer
  • Which of the following is an inscribed angle?<br><br> A. B. C.
    7·1 answer
  • I REALLY NEED HELP JUST 2 QUESTIONS
    12·1 answer
  • Please help ASAP!!!!! What is m
    10·1 answer
  • A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!