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
romanna [79]
11 months ago
9

Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 3 , 4 , − 3 . Assume the leading co

efficient is 1.
Mathematics
1 answer:
oksano4ka [1.4K]11 months ago
4 0

f(x) = x³ + 2x² - 15x - 36 is the equation of a degree 3 polynomial (in factored form) with the given zeros of f(x) are − 3 , 4 , − 3 assuming that the leading coefficient is 1. This can be obtained by formula of polynomial function.

<h3>Find the required equation:</h3>
  • The zeroes or roots of a polynomial function are x values for which          f(x) = 0
  • If the zeroes or roots are r₁, r₂, r₃,... then possible polynomial function is

⇒ f(x) =  a(x - r₁)(x - r₂)(x - r₃)

where a is the leading coefficient

Here in the question it is given that,

  • Polynomial should be with degree 3
  • zeros of f(x) are − 3 , 4 , − 3

By using the formula of polynomial function we get,

⇒ f(x) =  a(x - r₁)(x - r₂)(x - r₃)

⇒ f(x) = 1(x - (-3))(x - (4))(x - (-3))

⇒ f(x) = 1(x + 3)(x - 4)(x + 3)

⇒ f(x) = (x + 3)(x² - x - 12)

⇒ f(x) = x³ - x² - 12x + 3x² - 3x - 36

⇒ f(x) = x³ + 2x² - 15x - 36

Hence f(x) = x³ + 2x² - 15x - 36 is the equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 3 , 4 , − 3 assuming that the leading coefficient is 1.

 

Learn more about polynomial function here:

brainly.com/question/12976257

#SPJ1

You might be interested in
Y=1/5x+3 what is the graphing for this problem
nirvana33 [79]
This is not clear sorry

4 0
3 years ago
What is the answer for this 9x+8=107
oee [108]

Answer:

x=11

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Greg bought four roses for $12.80 if the cost per rose is constant how much would 9 roses cost
frozen [14]

Answer:

1.4222222222

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me with this
kompoz [17]

Answer:

The answer would be X=24

Step-by-step explanation:

Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!

-Hope this helps-

~Bai~

4 0
3 years ago
Read 2 more answers
A building casts a shadow of 30ft.
alexandr402 [8]

Answer:

45

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • ∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
    9·2 answers
  • The perimeter of a rectangular garden is 860 ft. the two short sides of the garden are each 30 ft long. you are asked to find th
    9·1 answer
  • Which of the following terms is defined as "a point that divides a segment into two congruent segments"?
    5·2 answers
  • Select the exclusion that fits best with this problem.<br><br><br><br> 13x^6/51x^4
    13·1 answer
  • Dummy forgot his pin code. 20% of his pin code was 246.8 what was dummy pin code?
    11·1 answer
  • I need help due tomorrow
    15·1 answer
  • John runs a computer software store. He counted 122 people who walked by his store in a day, 60 of whom came into the stores. Of
    14·1 answer
  • An art class costs $45 for materials and then
    14·1 answer
  • Harry collects sedimentary and igneous rocks in<br> the ratio 16:9. What percentage are igneous?
    13·1 answer
  • Ryan has a bank account balance of --$17.62. As soon as he realizes this, he deposits $26.50 in the account. What is Ryan's bank
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!