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
ZanzabumX [31]
3 years ago
5

How are the zeros of a polynomial function used to create a graph

Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0

General Rule

If the Polynomial is of degree n, then it has n zeroes, then it cuts x axis at n points.

Now, explaining the above rule

→If a polynomial has single zero, then it cuts x axis at one point, which will be linear function ,like , x=a.

→If the polynomial cuts x axis at two points, it means it has two zeroes ,which will be a quadratic function.

→Like wise, Polynomial of third degree cuts x axis at three points and it will be a cubic polynomial.

How Zeros of a polynomial function used to create a graph

⇒Now, suppose the two zeroes of function are ,a and b.

 x=a and x=b.That is, x-a=0 and x-b=0

To Obtain the function, multiply the two linear function

 (x-a)(x-b)=0

Which gives a Quadratic function.

→x² -(a+b)x+ab=0

⇒Similarly, for three roots (a,b,c) of the function,the function will be

 →x³-(a+b+c)x²+(ab+bc+ca)x²-abcx+k(Constant)=0

Which will be a Cubic function.

olganol [36]3 years ago
3 0
11 . Predict the end behavior of the function.

22 . Find the real zeros of the function. Check whether it is possible to rewrite the function in factored form to find the zeros. Otherwise, use Descartes' rule of signs to identify the possible number of real zeros.

33 . Make a table of values to find several points.

44 . Plot the points and draw a smooth continuous curve to connect the points.

55 . Make sure that the graph follows the end behavior as found in the above step.
You might be interested in
A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat
fredd [130]

Answer: approximately 24

Step-by-step explanation:

We need to plot a regression line.

So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:

(Y -mean(Y ))= a(X-meanX)...........1

Where the formular of a is given the attachment.

N= the of individuals = 5

Y = amount of fat

X = time of exercise

mean(X )= sum of all X /N

= 131/5 = 26.2

mean(Y) = sum of all Y/N

= 104/5 = 20.8

a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2

SXY = Sum of Product X and Y

SX= sum of all X

SY = Sum of all Y

S(X²)= sum of all X²

(SX) = square of sum of X

a = -0.478

Hence we substitute into 1

Y-20.8 = -0.478 (X-26.2)

Y -20.8 = -0.478X - 12.524

Y = -0.478X + 33.324 or

Y = 33.324 - 0.478X (model)

When X = 20

Y = 33.324 - 0.478 × 20

Y = 33.324 - 9.56

Y = 23. 764

Y =24(approximately)

Carefully meaning of formula used in attachment to the solution they are the same.

4 0
3 years ago
Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.
inn [45]

Answer:

Step-by-step explanation:

(a) MEAN = £fx/ fx (The sum of the all jerseys number/ number of jerseys)

= 680/11

= 61.8

(b) MEDIAN = The middle number when all the items are arranged either in ascending order or descending order

= 6, 14, 50, 51, 54, 68, 77, 78, 89, 94, 99

= 68

(Strike out the numbers, the middle number left is the median)

(c) MODE= (Mode implies the number with the highest frequency)

From those items, THERE IS NO MODE.

All the items (numbers) appeared once

(d) MID-RANGE:

This is the sum of the least valued number and the greatest valued number and dividee by two

Mid-range = (99 + 6) / 2

= 105/2

= 52.5

(e). The results tells us that:

The mean and median give two different interpretations of the average​ (or typical) jersey​ number, while the midrange shows the spread of possible jersey numbers

Also, pls note that the median implies the measure of the middle of the sets of jerseys number. And the mean tells us the distribution of the sets of jerseys number.

Hope this helped!

3 0
3 years ago
what are the factors of 47 (cuz im STUPID and i dont feel like doing this cuz im working on geogrophy)
Hitman42 [59]

Hey there! I'm happy to help!

The factors are the numbers you multiply to get 47. And they can't be fractions or numbers with fractions. They have to be integers (numbers without fractions).

So far, we see that we can multiply 1 and 47 to get 47. To see if there are any more, we see what numbers 1-10 we can divide by.

We cannot divide by 2 because 47 is odd.

We cannot divide by 3 because it gives us 15.6666...

We can't divide by 4 because 47 is odd.

We can't divide by 5 because 47 does not have a 5 or 0 in the ones place.

We can't divide by 6 because 47 is odd.

We can't divide by 7 because it gives us 6.714285....

We can't divide by 8 because 47 is odd.

We can't divide by 9 because it gives us 5.2222

And we obviously can't divide it by 10.

Therefore, the factors of 47 are 1 and 47. A number whose only factors are 1 and itself is called a prime number.

I hope that this helps! Have a wonderful day! :D

3 0
3 years ago
Read 2 more answers
Help.... Other question got deleted.
Helen [10]
-2/25 is the slope
x1=4
hope this helps!
7 0
3 years ago
I will give brainly help.
Burka [1]

Answer:

Company G charges 5 more dollars per hour than Company H.

5 0
2 years ago
Read 2 more answers
Other questions:
  • A dollar bill is about 15.5 cm long. If seventeen trillion dollar bills were laid end to end around the Earth's equator, how man
    7·1 answer
  • Which equation shows 4n=2(t-3) solves for t?
    15·1 answer
  • Factor 54+27 using the GCF.
    10·2 answers
  • Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ?3 is 44°. What is the measure of ?? ?1 ?
    11·1 answer
  • Add. −5+(−2)= <br> Pls help
    15·2 answers
  • Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative
    7·2 answers
  • Solve for x. -3/5x+1/5&gt;7/20
    13·1 answer
  • Pls Helpp!!! "Nancy currently has $50.75 in her bank account and plans on depositing $11.25 into the account each week. She plan
    7·1 answer
  • Five cups of coffee cost £4.00 how much does 3 cups of coffee cost
    12·2 answers
  • HELPP PLS THIS IS MY LAST CHANCE I HAVE ONLY A COUPLE MORE MINTUES..ㅠㅜㅜㅠ
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!