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
Korolek [52]
3 years ago
14

Which equation represents the polynomial function with zeros −1, 1, and 3 (multiplicity of 2), and a y-intercept of −18? (4 poin

ts)
y = 2(x + 3)2(x − 1)(x + 1)

y = −2(x − 3)2(x − 1)(x + 1)

y = 2(x − 3)2(x − 1)(x + 1)

y = −2(x + 3)(x − 1)(x + 1)
Mathematics
1 answer:
Vlad [161]3 years ago
7 0
Correct Answer:
3rd option is the correct answer

Solution:
The zeros of the polynomial are -1,1 and 3. The multiplicity of 3 is 2. So the polynomial can be expressed as:

y=a (x-3)^{2}(x-1)(x+1)

The y-intercept of the polynomial is -18. This means the polynomial passes through the point (0,-18). Therefore, y must be -18 when x = 0. Using these values of x and y in previous equation we get:

-18=a (0-3)^{2}(0-1)(0+1) \\  \\ 
-18=-9a \\  \\ 
a=2

The final equation of the polynomial becomes:

y=2 (x-3)^{2}(x-1)(x+1)

You might be interested in
Which point has the coordinate –0.4?
Sphinxa [80]
The best and the most correct answer among the choices provided by the question is the fourth choice. K has a coordinate of -0.4. I hope my answer has come to your help. God bless and have a nice day ahead! Feel free to ask more questions. 
8 0
2 years ago
Answer for brainlest
antiseptic1488 [7]

A disjunction is a compound statement formed by joining two statements with the connector OR. The disjunction "p or q" is symbolized by p q. A disjunction is false if and only if both statements are false; otherwise it is true. The truth values of p q are listed in the truth table below.

7 0
3 years ago
How many square inches are in 60 square fee
Vilka [71]

Answer:

8640 square inches

Step-by-step explanation:

There are 12 inches in one foot so there would be 12 * 12 = 144 square inches in 1 square foot. Therefore, there are 144 * 60 = 8640 square inches in 60 square feet.

8 0
3 years ago
Find the value of x in the following diagram,<br> 3x + 10<br> Here, B and D are points of tangency.
SVEN [57.7K]

<u>Given</u>:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

Thus, we have;

AB = AD

Substituting the values, we get;

3x+10=7x-6

Subtracting both sides of the equation by 7x, we get;

-4x+10=-6

Subtracting both sides of the equation by 10, we get;

-4x=-16

Dividing both sides of the equation by -4, we get;

x=4

Thus, the value of x is 4.

5 0
2 years ago
HELP ASAP<br> What is the measure of ZDBE?<br> A. 120°<br> B. 45°<br> C. 75°<br> D. 60°
kolezko [41]
B. 45 degrees is the answer
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the value of x.
    9·1 answer
  • WILL GIVE BRAINLIEST! PLEASE HURRY pressure varies inversly as the volume. When the pressure is 10 pascals, the volume is 150 li
    10·1 answer
  • If two sides of a triangle are of measures 15 and 28, what is the range of possible values for the third side x?
    11·1 answer
  • Maria gave some money to each of her three children. Maggie received 1/5 of the money. Journi received 3/8 of the remainder and
    8·1 answer
  • Max ran 50 meters in 10 seconds. molly ran 30 meters in 5 seconds. who ran faster
    14·2 answers
  • I WILL GIVE BRAINLEST. Use the irregular polygon below. show all work.
    5·1 answer
  • What is number 12????????????????
    14·2 answers
  • Please Help?? Emergency!! I will give extra points and mark you brainiest.
    8·1 answer
  • PLEASE HELP DO NOT WASTE ANSWERS URGENT WILL MARK BRAINLIEST
    10·1 answer
  • Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x + 4y = -12​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!