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
umka21 [38]
3 years ago
12

Write a polynomial function, p(x) with degree 3 that has p(7)=0

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

You might be interested in
Zeus Industries bought a computer for $2730. It is expected to depreciate at a rate of 30% per year. What will the value of the
Lostsunrise [7]
The price will be $655.47 after four years
6 0
3 years ago
In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many
kompoz [17]
1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2)  The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5).  There are 18 outcomes in this event.
3)  The probability of rolling an odd sum is 18/36 = 1/2 = 0.5
3 0
3 years ago
Read 2 more answers
Tyler earned $364.80 at his job when he worked for 16 hours. How much money did he earn each hour?
oksano4ka [1.4K]

Answer: $22.80/hour

Step-by-step explanation: 364.80 : 16 = 22.80

5 0
3 years ago
Solve 6x^2 = 12x -24
Mice21 [21]

Answer:

number 2)

Explanation step by step

7 0
3 years ago
Read 2 more answers
I’ve been stuck on this for a min now
dedylja [7]

Answer:

3/14

Step-by-step explanation:

1st subtract the y's

the subtract the x's in the same order

-9 - 5 = -14

put the first result over the second

-3/-14 = 3/14

4 0
2 years ago
Other questions:
  • Line JK bisects line LM at point J. Find JM if LJ=23 centimeters
    8·2 answers
  • In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H
    9·1 answer
  • Write two linear expressions that have a sum of 3x-8
    12·2 answers
  • Best gets brainliest
    12·1 answer
  • Can someone help me on this plzzz and thank u
    12·1 answer
  • A new glove and ball are priced $29.99, but you have a coupon for 15% off. What is the price of the glove and ball with the coup
    5·1 answer
  • Solve simultaneous equations <br> 11s+9t=116<br> 5s+9t=92
    6·2 answers
  • Does anyone want to be my fortnite girlfreind
    14·2 answers
  • Find the area of the triangle
    10·1 answer
  • 3. Give an example of an expression with a rational exponent and explain how to convert it into radical form.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!