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
Troyanec [42]
3 years ago
15

What is the value of the leading coefficient a, if the polynomial function P(x) = a(x + b)2(x − c) has a multiplicity of 2 at th

e point (−1, 0) and also passes through the points (7, 0) and (0, −14)?
2
Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
If the polynomial function P(x) = a(x + b)^2(x-c) has a multiplicity of 2 at the point (−1, 0) then the factor (x-(-1))=(x+1) twice enters the polynomial representation. So, you have known one part of the left side of the polynomial function that is P(x) = a(x + 1)^2(x-c).

If polynomial function passes through the point (7,0), then 0 = a(7+ 1)^2(7-c) and since a\neq 0 you have that c=7.

At last, if polynomial function passes through the point (0,-14), then -14 = a(0+ 1)^2(0-7) and -14=-7a, so a=2.
Answer: a=2.



You might be interested in
An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine an
nalin [4]

Answer:

120 degrees is the right angle and the 30 degree added which is 1/3 here we know as we can always divide a side measure by 90 then multiply by a second angle to find the hypotenuse. When we do this we are using a three way system just like a three way system appears when we use a right angle triangle and read the functions.

Step-by-step explanation:

8 0
3 years ago
How much of each ingredient is needed<br> to make a 20 L tub of Heavenly Hash<br> ice cream?
ch4aika [34]
It depends on what ingredients you need , and omg i love bts too who’s your bio??
4 0
3 years ago
I need help with this question please help!
Nonamiya [84]
.60 because there's 5 spots and 3 are odd so 3/5 is also equivalent to 60 percent? sorry if wrong!
8 0
3 years ago
At the end of the baseball season, four families decided to buy the coach a gift certificate. Each family contributed $35 toward
igomit [66]

Answer: sorry but I’m in a rush to get to work my client won’t be happy if I’m late I know the answer tho!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which fraction is not equivalent to 9/12
Usimov [2.4K]

Answer: 1/2

1/2 = 50%

9/12 = 75%

6 0
3 years ago
Read 2 more answers
Other questions:
  • julio wants to collect data to compare a student’s age and his or her grades. He will plot the data in a scatterplot to look for
    6·1 answer
  • Which choice names a diameter of circle F.
    10·2 answers
  • the standard normal curve shown below models the population distribution of a random variable. What proportion of the values in
    13·1 answer
  • 7. Which of the following is equal to 260 = 4?
    14·1 answer
  • What is the equation of the following direct variation?
    10·1 answer
  • Use the binomial theorem to expand (d-4b)^3 <br>Please explain.
    13·1 answer
  • 7l+5.5d=6.75<br> L+d=4.5<br> Solve for l and d
    14·1 answer
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
    7·1 answer
  • NEED HELP ASAP PLEASE<br><img src="https://tex.z-dn.net/?f=%284%20%7Bc%7D%5E%7B2%7D%20-%20%2B%2015c%20%2B%2018%29%20%5Cdiv%20%28
    7·1 answer
  • True or False: To calculate the amount of change, you must find the
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!