Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient

Answers

Answer 1
conjugate. i hoped that helped
Answer 2

The Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient is P(x) = x³ - x

Let the distinct real zeros of the required polynomial be 0, 1 and -1.

The equivalent factors will be x(x-1)(x+1)

To get the required polynomial, we will take the product of the factors as shown:

P(x) = x(x-1)(x+1)

P(x) = (x+1)(x-1)x

P(x) = x(x²-1)

P(x) = x³ - x

Hence the Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient is P(x) = x³ - x

Learn more here: https://brainly.com/question/16821812


Related Questions

9×7= Use. the disistributive property to find each product.

Answers

Answer:

63

Step-by-step explanation:

first yoy need to put the biggest number on the top then multiply each number

What is the following product?

Answers

Answer:

First option: 6y^2sqrt(10) + 12sqrt(5y)

Step-by-step explanation:

3sqrt(10) * (2y^2 + 2sqrt(2y)

= 6y^2sqrt(10) + 6sqrt(20y)

= 6y^2sqrt(10) + 12sqrt(5y)

Select all shapes that have a volume of \small 36\pi cubic units.

a




b




c




d




e




f




g

Answers

Answer:

Step-by-step explanation:

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:

Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:

Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:

Combine like terms: (18 + 24) squared = 30 squared.

Step 4:

Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

What number is 20% of 40?

Answers

Answer:

It would be 8

Step-by-step explanation:

20% of 40 is 8

Answer:

8

Step-by-step explanation:

this is correct, i think, sorry if it's not.

ty :9

Amy has the cards below:
3, 4, 5, 6, 7, 8
Select the letter that matches the probability of the dice landing on 3:
(diagram in the image attached).

Answers

Answer:

B (1/6)

Step-by-step explanation:

The cards she draws doesn't affect what number the dice lands on.  1 every 6 times on average the dice lands on 6 so there is a 1/6 probability represented by B.

can someone help me for once ?​

Answers

Answer:

The answer is A)-4,6

Step-by-step explanation:

sorry if wrong

hope this helps

plz give brainliest

What is the area of this rectangle?​

Answers

Answer:

15 cm squared

area =l x w

so 3 x 5= 15

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

Image shown below.,, brainly says it's inappropriate when i type out the question..

Answers

Answer:

Step-by-step explanation:

f(0) = ab^0 = 5

a = 5

f(1) = 5b^1 = 8

b = 8/5

f(x) = 5(8/5)^x

AHAHAHAHHHHHAHA i need help PLEASE HELP ME WITH MY MATH

Answers

Answer:

5

Step-by-step explanation:

-8x + 25 = -15

                 -25 = -40  then

-40 divide -8 to get 5

Answer: x = 5

The first step of the inverse operation is to subtract 25 on both sides of the equation to cancel out the 25 from the left side:

-8x+25 (-25) = -15 (-25)

-8x = -40

Next, you need to divide -8 on both sides to isolate the variable, which would give you the answer to x. The negatives would cancel out, leaving you with: x = 5

hope that helps :)

HELP ME

Mena is going to toss 3 pennies. What are the
total outcomes of his experiment?

Answers

Answer:

she will toss pennies

Step-by-step explanation:

please mark as brainliest

Hi guys can you answer my math question​

Answers

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:

25 divided by 100 using long divison

Answers

4 is the answer!!!!!!!!

Answer:

4 have a great day (ik it's long but still helps)

Step-by-step explanation:

Here we will show you step-by-step with a detailed explanation of how to calculate 100 divided by 25 using long division.

Before you continue, note that in the problem 100 divided by 25, the numbers are defined as follows:

100 = dividend

25 = divisor

Step 1:

Start by setting it up with the divisor 25 on the left side and the dividend 100 on the right side like this:

           

 2 5 ⟌ 1 0 0

Step 2:

The divisor (25) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 2 5 ⟌ 1 0 0

Step 3:

Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer below the dividend.

       0    

 2 5 ⟌ 1 0 0

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 2 5 ⟌ 1 0 0

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

Step 6:

The divisor (25) goes into the bottom number (10), 0 time(s). Therefore, put 0 on top:

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

Step 7:

Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer at the bottom:

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 0 = 10) and write the answer at the bottom.

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0  

Step 9:

Move down the last digit of the dividend (0) like this:

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

Step 10:

The divisor (25) goes into the bottom number (100), 4 time(s). Therefore put 4 on top:

       0 0 4

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

Step 11:

Multiply the divisor by the result in the previous step (25 x 4 = 100) and write the answer at the bottom:

       0 0 4

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

       1 0 0

Step 12:

Subtract the result in the previous step from the number written above it. (100 - 100 = 0) and write the answer at the bottom.

       0 0 4

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

     - 1 0 0

           0

You are done because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 100 divided by 25 calculated using Long Division is:

4

0 Remainder

(help!) What is the relationship between the ratios of the Perimeter and the ratios of the Area?


Perimeter Area

2:3 4:9

3:5 9:25

Answers

Answer:

4.5 I think

Step-by-step explanation:

Help pls!! Which of the following most specifically describes quadrilateral QUAD?

Answers

Answer:

I mean I think they are all quadrilateral, but the one that is congruent and perpendicular on both sides is a square.

Step-by-step explanation:

are In a bag of marbles, 1/2 red, 1/4 blue, 1/6 green, and 1/12 are yellow. You pick a marble without looking. The marble is most likely to be:
a red
b blue
c green
d yellow

im giving lots of points​

Answers

Step-by-step explanation:

hold up let me work it out and i will answer with full explanation

Does anyone know how to do this?

Answers

Add 78 and 45 you’ll get 123!

Amal's picture is 60 millimeters long. How many
centimeters long is his picture? 10 millimeters = 1
centimeter

Answers

6
because if one centimeter equals 10 millimeters you just divide 60 by 10 and you get 6

Answer:

6 centimeters

Step-by-step explanation:

60 millimeters

10 millimeters = 1 centimeter

How long is the picture in centimeters

______________________________

We know the scale of millimeters to centimeter which is when there are 10 millimeters, 1 centimeter is made. Now we're looking for 60 millimeters, let's see how many times it takes 10 to get to 60.

10 * 6 = 60

So you have to multiply by 6 to find you answer :

1 centimeter * 6

6 centimeters

Solve for x
8x+1>−31

Answers

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]

Fred was purchasing rice for his restaurant for the week. He usually makes 150 dishes a week with rice and each portion is 5 ounces. How many pounds of rice should Fred purchase for the week?

Answers

Answer: He bought 46.875 pounds of rice for the week.

Step-by-step explanation:

Total rice he bought = (Number of dishes made in a week) x (portion of rice in each dish)

GIven: Each portion has 5 ounces of rice.

i.e. each portion has [tex]\dfrac{5}{16}[/tex] pounds of rice.    [ 1 pound = 16 ounces]

Total rice he bought ( in pounds)=[tex]150\times\dfrac{5}{16}[/tex]

[tex]=46.875\text{ pounds}[/tex]

Hence, he bought 46.875 pounds of rice for the week.

Please help ASAP!
thx :)

Answers

The last one : 81/16

The circumference of a circle is 25π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answers

Answer:

Area = 156.25 pi square centimetres

Step-by-step explanation:

circumference =

[tex]2 \: \pi\:r[/tex]

so,

=

[tex]2 \: \pi \: r = 25\pi[/tex]

=

[tex]r = 25 \div 2[/tex]

=

[tex]r = 12.5[/tex]

now, the area =

[tex]\pi \: r \: {}^{2} [/tex]

=

[tex]\ pi \times 12.5 \times 12.5[/tex]

=

[tex]156.25 pi square centimeters

Gabriella was offered a job after college earning a salary of $50,000. She will get a
raise of $4,000 after each year working for the company. Answer the questions below
regarding the relationship between salary and the number of years working at the
company.

Answers

Answer:

y=4,000x+50,000

Step-by-step explanation:

Where y = total salary

x = number of years worked

The relationship between salary and the number of years working at the company is 50000 + 4000x

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Gabriella was offered a job after college earning a salary of $50,000.

She will get a raise of $4,000 after each year working for the company.

let the number of years worked be x.

Then, relationship between salary and the number of years working at the company is 50000 + 4000x

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

what is the probability that at least one of their children will be a boy? if a couple is planing on having 3

Answers

Answer:

You can see that the chance of having at least one boy is 1/2 in the first generation, 3/4 in the second, and 7/8 in the third.

Step-by-step explanation:

What is the simplified form of the following expression??

Answers

Answer:

-56[tex]x^{11}[/tex]

Please mark brainliest if you can, thank you

Step-by-step explanation:

Answer:

−56x^11        (The 11 is an exponent)

I hope I helped

The inequality below shows the relationship between Mario’s biking goal in miles and how many miles he
rides in an hour. Let t represent the amount of time in hours.
8 ≥ 20

Answers

Answer:

4

Step-by-step explanation:

please help i dont get it and its for a grade! :(

Answers

Answer:

y=-4x+5

Step-by-step explanation:

A pack of batteries that contains nine batteries costs $20. Determine the cost per
battery.

Answers

Answer:

$2.22

Step-by-step explanation:

Help me please you will get the brainliest answer if you get it right :))

Answers

Answer:

J

Step-by-step explanation:

Answer: F

Step-by-step explanation: Because I Did The Test! :)

Help this girl outttttt

Answers

Answer: 72 degrees each angle

Step-by-step explanation:

A pentagon has 5 sides and all interior angles = 360 degrees

360 degrees divide by 5 = 72 degrees

a) 360 degrees

b) 1 interior angle = 72 degrees

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Answers

If u need to show your work here:
Take the 10 and divide by 2
Then that 5 is now 5a at the beginning of the problem then rewrite it and then take a4,b6,a7,b-3 and add them together which gives you and answer of
5a11b3

Answer:

(5b^9)/a^3

Step-by-step explanation:

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