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
olchik [2.2K]
1 year ago
11

Find the zero(s) of the polynomial function f(x) = x2 - 36.

Mathematics
1 answer:
boyakko [2]1 year ago
3 0
Answer:

6 and -6

Explanations:

The given polynomial function is:

f(x) = x² - 36

The zeros of the polynomial are found by equation f(x) to zero

The equation becomes:

x² - 36 = 0

x² - 6² = 0

(x - 6) (x + 6) = 0

x - 6 = 0

x = 6

x + 6 = 0

x = -6

The zeros of the polynomial are -6 and 6

You might be interested in
Write a polynomial function in factored form with double roots at -2 and 5 and the constant term of the polynomial in standard f
Amanda [17]

Answer:

f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40

Step-by-step explanation:

If -2 and 5 are double roots of the polynomial function, then the function expression is

f(x)=a(x-(-2))^2(x-5)^2\\ \\f(x)=a(x+2)^2(x-5)^2

Rewrite this function in standard form:

f(x)=a(x^2+4x+4)(x^2-10x+25)\\ \\f(x)=a(x^4-10x^3+15x^2+4x^3-40x^2+100x+4x^2-40x+100)\\ \\f(x)=a(x^4-6x^3-21x^2+60x+100)\\ \\f(x)=ax^4-6ax^3-21ax^2+60ax+100a

The constant term of the polynomial in standard form is -40, so

100a=-40\\ \\a=-\dfrac{40}{100}=-0.4

Therefore, the function expression is

f(x)=-0.4x^4-6\cdot (-0.4)x^3-21\cdot (-0.4)x^2+60\cdot (-0.4)x+100\cdot (-0.4)\\ \\f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40

7 0
4 years ago
Ana cuenta una noticia a 5 personas. A la hora siguiente, cada una de ellas se la cuenta a otras 5, y así sucesivamente. ¿Cuánto
TiliK225 [7]

Answer:

3 horas si se toma apartir de lo que se dice en el problema

5 0
3 years ago
Solve 2x-4÷ 5 = 4<br>really need help fast​
MrRa [10]

Answer:

x=12

Step-by-step explanation:

2x-4=20

2x=24

x=12

4 0
3 years ago
Read 2 more answers
What are the foci of the hyperbola with equation 9y^2 - 16x^2 = 144?
Blizzard [7]
I think the answer is

7 0
4 years ago
The equation of a parabola is y=1/8x2−4x+41 .
Dafna1 [17]
Y=7............................................................................................................................................................
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is 5/2 x 9/4 as a mixed fraction?
    6·1 answer
  • Y’all know the answer to this question ?
    10·1 answer
  • Mario surveyed the 17 healthiest patients in the hospital.
    14·1 answer
  • Hi! Please find the equation of the line that is perpendicular to y = 2/3x - 1 and passing through (8, 10). Thanks!
    6·1 answer
  • With gasoline prices increasing, drivers are more concerned with their cars’ gasoline consump- tion. For the past 5 years, a dri
    13·1 answer
  • A factory bottles 511 bottles of juice in 7 minutes. Find the factory's unit rate of bottles per minute.
    7·2 answers
  • A glass of water can hold 1/6 of a bottle. How many glasses of water can be filled with 3 1/2 bottles of water
    14·2 answers
  • A fish is 8 feet below sea level. A bird is flying 6 feet above sea level. Write each amount as an integer.
    5·1 answer
  • C represents the circumference and d represents the diameter since ou is approximately 3.14 which formula seems reasonable D/3.1
    13·1 answer
  • What is the value for y
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!