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
statuscvo [17]
3 years ago
15

Find a cubic function with the given zeros.

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

The correct option is D) f(x) = x^3 + 2x^2 - 2x - 4 .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in f(x) = x^3 + 2x^2 - 2x + 4 .

f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 + 2x^2 + 2x - 4 .

f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 - 2x^2 - 2x - 4 .

f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0

Now check for other roots as well.

Substitute x=√2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0

Substitute x=-√2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0

Therefore, the option is correct.

You might be interested in
HELP ASSSAP WITH THIS QUESTION
bulgar [2K]
The answer is linear and increasing. look at it.... it goes up. 

8 0
3 years ago
Use the distributive property to write an expression that is equivalent to: 3(x + 5)
lana [24]

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers-  3(x)+3(5)

solve-  3*5=15

3x+15

3 0
3 years ago
Answer the question below
Lina20 [59]

Answer:

kckgkfjjfufufuf8f8ff88r8r8r8r8r8rrffufuufuff

3 0
3 years ago
Twenty-six , 2 tens 6 ones , 25, 20+6 which one is the odd one out?
Aneli [31]

Answer:

25

Step-by-step explanation:

twenty-six=26

2 tens 6 ones= 26

25=25

20+6=26

25 is the odd one out.

8 0
3 years ago
Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h
Westkost [7]

Answer:

b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

  than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* <u><em>Lets find b in terms of a , c , d , T</em></u>

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴ b=\frac{T-a-c-d}{3}

∴ b equals T minus a minus c minus d all over 3

4 0
3 years ago
Read 2 more answers
Other questions:
  • Charmaine's penny bank is 2/3 full. After she removes 160 pennies, it is 4/9 full. How many pennies can Charmaine's bank hold?
    11·2 answers
  • Over the interval 2 to 4 by how much does the function increse
    9·1 answer
  • Multiply<br> 7i(5-9i)<br> Please Help!
    14·1 answer
  • The solutions to the equations 2x^2 +x-1=2 are x=-3/2 or
    6·2 answers
  • when added to the number that is produced by doubling the number x the result is equal to 8 times the number that is 5 less than
    10·2 answers
  • Solve for x<br> A) 36<br> B) 54<br> C) 72<br> D) 84 <br> Ayo help a girl out
    7·2 answers
  • Logan bought 30 balloons. 4/6 of the balloons are purple.<br> How many of the balloons are purple?
    15·1 answer
  • en una clase de 90 alumnos , 15 son nacidos en estados unidos . que porcentaje son nacidos en estados unidos?
    14·1 answer
  • What is the volume of the following rectangular prism?
    15·1 answer
  • Kylie buys cranberries and raspberries in the ratio of 8:9 to prepare mock tails. If she buys 64 ounces of cranberries what is t
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!