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
Reil [10]
3 years ago
13

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form.
5, -3, and -1 + 2i
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors  = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

=  x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4  + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

You might be interested in
Help pls with this trigonometry question
bazaltina [42]
Hope this helps. Please make me brainliest.

7 0
2 years ago
Read 2 more answers
a stone falls from a ledge and takes 8 seconds to the hit the ground. the stone has an original velocity of 0 m/s. how tall is t
Verizon [17]
Using equation of motion.

S = ut + (1/2)gt²

Where S = Height, t = time, g = acceleration due to gravity = 9.8 m/s²

time, t = 8 seconds 

Since it was dropped from height, initial velocity, u = 0

S = 0*t + (1/2)gt²

S = (1/2)gt²

S = (1/2)*9.8*8²  = 4.9 * 8 * 8 =  313.6

Therefore the ledge is 313.6 m tall.
6 0
3 years ago
Read 2 more answers
At a local department store sweaters typically cost $44. However due to a special the sweaters are reduced to $22. What percent
kvasek [131]

Answer:

50% reduction in price

Step-by-step explanation:

can be determined by 44- (44× X) solve for x and you get x as .5

8 0
3 years ago
Tyler ate x fruit snacks, Han ate 3/4 less than that. Write an equation to represent the relationship between the number Tyler a
Citrus2011 [14]

Answer:

0.75x = y

or

1/4 = y

4 0
3 years ago
The diameter of a circle is 2 meters. What is the area?<br> Exact answer in simplest form
kow [346]

Answer:

22/7

Step-by-step explanation:

Diameter is 2m

we know,

radius= Diameter/2

r = d/2

r = 2/2

r = 1

Now,

area of circle= πr^2

22/7 * 1^2

22/7 ....... answer

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jameel drew circle A and found that the measure of the is 58°. He knows that he can use this measure to determine the measure of
    9·1 answer
  • Two sisters, Jenny and Penny, play on the same basketball team. Last season they scored a combined total of 458 points. Jenny sc
    9·1 answer
  • A trinomal that has a greatesr common factor of 1 is prime? Yes or no
    10·1 answer
  • What’s an equation of the line that has a y intercept of -2 and a slope of 5
    7·2 answers
  • 1/6 6% 3/5 60% 6/100 which two values are equivalent to 0.6
    6·1 answer
  • Jen pours out 6 ounces of water from a full bottle. She estimates that she poured out 20% of the water in the bottle. About how
    10·1 answer
  • Please help me . my grades are making me want to Die
    6·1 answer
  • At the beginning of the year, the number of books owned by a library was 10,000. Since then, it has grown by 1% each month.
    11·1 answer
  • Cole threw 50 darts. Here are his results Orange 29, Green 15, Blue 5, and Red 1 Calculate the experimental probability for each
    11·1 answer
  • Find the approximate volume of a cylinder that has a radius of 4 inches and a height of 6 inches. Use 3.14 for Pie
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!