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
4vir4ik [10]
2 years ago
9

Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x

5)(x i) f(x) = (x – 7)(x – i)(x – 5)(x i) f(x) = (x – (7 – i))(x – (5 i))(x – (7 i))(x – (5 – i)) f(x) = (x (7 – i))(x (5 i))(x (7 i))(x (5 – i))
Mathematics
1 answer:
Nuetrik [128]2 years ago
5 0

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

You might be interested in
PLSSS HELP I’LL GIVE BRAINIEST
Bess [88]

Answer:

Step-by-step explanation:

Find the amount of time it takes for a beam of light from the Sun to reach Earth.

3 0
1 year ago
Evaluate [16 ÷ (2 + 3 • 2)] + [4 • (36 – 25)]
maw [93]

Answer:

46

Step-by-step explanation:

There is an open + in the middle. It does not have any brackets around it. Therefore you do it at the very last.

Left side of the plus sign.

[16 ÷ (2 + 3*2)] Do the multiplication inside the parenthesis ( 2*3) first.

= [16 ÷ (2 + 6)] Add inside the parenthesis.

= [16 ÷ 8 ]         Do the division

= 2

Right side of the open plus sign

[4 * (36 - 25)]   Do the subtraction first.

[4 * 11 ]             Do the multiplication

44

Now combine both right and left side.

2 + 44

46

The answer is 46.

8 0
2 years ago
Read 2 more answers
1/5 x = 12 plz help im not very good with math
IceJOKER [234]

Answer:

Step-by-step explanation:

1/5x = 12

x = 12 × 5

x = 60

( By using transposing method )

Plz mark it as brainliest

You can recheck it by calculating

60/5= 12

5 0
3 years ago
Read 2 more answers
Someone pls help me out thanks
Jobisdone [24]

Answer:

C(7,-8)

R= 8

The general formula of a circle = (x-a)+(y-b)=r²

5 0
3 years ago
For an art project, Jack used a piece of rope that was of a foot long. Daniel used a piece of rope that was 5 times as long. How
Lemur [1.5K]
5 feet

Explanation:
If jack had a 1 foot long piece of rope than we can simply multiply 1 by 5 and we get 5. Hope this helps!
8 0
2 years ago
Other questions:
  • HELP PICTURE IS SHOWN
    15·1 answer
  • In 2011, the approximate population of California was 37,691,900 while that if Michigan was about 9,876,200. Find the number of
    8·1 answer
  • Jasper made a flag for his football team. He painted 1/2 of the flag blue and 1/2 of the flag yellow. He added stars to 1/3 of t
    9·1 answer
  • Gracie's insurance premiums are $131 per month. this year she also paid a $500 deductible and 20 percent of $3200 for a minor ac
    13·2 answers
  • Which of the following pair of triangles can be proven congruent through SSS​
    15·1 answer
  • To find the average rate (speed) of a car traveling on a highway, the distance traveler is divided by the time: R=D/T. If the di
    7·1 answer
  • 3. What is the radius, in centimeters, of a circle that has a circumference of 16 centimeters? ​
    6·2 answers
  • It was cloudy 12 out of 30 days in April. Which value is equivalent to the fraction of days it was cloudy in April? (Not college
    13·1 answer
  • Consider these functions:
    12·1 answer
  • A triangle is formed between boats a and b and a submarine. the length between a and b is 1,425 feet. the angle at point a is 59
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!