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
Veseljchak [2.6K]
3 years ago
13

Which of the following is a root of the polynomial function below

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

A) 2 + i

Step-by-step explanation:

F(x) = x^3 - 3x^2 + x + 5

0 = x^3 - 3x^2 + x + 5

0 = (x+1)(x^2 - 4x + 5)

Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:

0 = x + 1

<u>x = -1</u>

We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:

0 = (x^2 - 4x +5)

This expression can't be factored, so we will use the quadratic formula (which is x = \frac{-b+-\sqrt{b^{2}-4ac }  }{2a}).

First solve for the positive part:

= (4 + sqrt(16-20)) / 2

  = 4 + sqrt(-4) / 2

  = 4 + 2i / 2

  <u>= 2 + i</u>

Then for the negative part:

= (4 - sqrt(16-20)) / 2

  = 4 - sqrt(-4) / 2

  = 4 - 2i / 2

  <u>= 2 - i</u>

<u></u>

<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.

You might be interested in
A patient weighs 93 pounds (lb). Meperidine hydrochloride is ordered for pain at a dosage of 6 milligrams (mg) per kilogram of b
Ymorist [56]

Convert the dose into mg / lb

1 lb = .45 Kg

so the does = 6 * .45 = 2.7 mg/lb

so the daily dose of the patient is 93 * 2.7 = 251.1 mg

injections are available in 50mg per mL

to calculate the daily dose in mL 251.1 / 50 = 5 mL

7 0
3 years ago
NEED HELP NOW 100 POINTS WILL MARK BRAINLIEST ANSWER!!!! 2 photos below PLZ ANSWER BOTH CORRECTLY
slega [8]
The first answer is C. 
The second answer is A. 
7 0
3 years ago
Read 2 more answers
My phone rang exactly midway between 10:53 AM one day and 1:05 PM the next day. What time did it ring?
marishachu [46]
The time it rang was 11:59 PM. 
4 0
3 years ago
Read 2 more answers
A group of 5 people goes to the theater. If each ticket costs $6.50, is $50 a reasonable estimate for the cost of 5 tickets ? Ex
MAVERICK [17]
No it is not because its more then ten numbers away from the solution of the five tickets
6 0
3 years ago
Read 2 more answers
A method of solving a system of equations in which one variable is replaced by an expression using the other variable as a repre
Tanya [424]
I believe it is referred to as The Substitution Method.
3 0
3 years ago
Read 2 more answers
Other questions:
  • A car speeds up from 20 m/s to 50 m/s over a time of 10 seconds. What is the cars acceleration
    14·1 answer
  • Help me please!! Joe went to a fast food restaurant and bought 4 orders of fries and 2 burgers for $14. Becca went to the same f
    8·1 answer
  • A ticket to see your favorite baseball team costs ​$30.08. That price decreases by ​$0.42 for every game lost during the regular
    12·1 answer
  • How does the number 8 compare to number of 80
    6·2 answers
  • Which of the lines below has a slope of zero?
    10·2 answers
  • Find the coordinates of the midpoint of line HX.. . H(0,0), X(8,4)
    13·1 answer
  • What is the surface area of the square pyramid
    14·1 answer
  • -c - 11&gt;23 solving inequality if u show your work I'll make yo brainliest
    12·1 answer
  • Find the measure of angle 2.<br><br> 60°<br> 90°<br> 120°<br> 30°
    7·2 answers
  • HELPPP i need to find standard form and general form, please help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!