Mathematics High School

If one of the zeroes of the cubic polynomial p(x)=ax³+bx²+cx+d is zero then find the product of other two zeroes of p(x).​

Answers

Answer 1

Answer:

As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.

Since x is a factor , d= 0

ax^3+bx^2+cx+d = ax^3+bx^2+cx

= x(ax^2+bx+c)

Other two roots are roots of

ax^2+bx+c = 0

For a quadratic equation ax^2+bx+c = 0

Product of roots = c/a

Sum of roots = -b/a

So

Product of other two roots = c/a

Hope this helps :D

Related Questions

A train leaves the station at time = 0. Traveling at a constant speed, the train travels 330 kilometers in 3 hours. Answers parts a and b. A. Write a function that relates the distance traveled d to time t. The function that relates the distance traveled d to the time is.

Answers

Answer:

The function that relates the distance traveled d to the time t is

f(t) = 110t, where d = f(t)

Step-by-step explanation:

From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours

We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions

Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour

Then d= 110t---------------eqn(1)

If if t = 0, then d = 0, as well since at t=0 the train is at the station

At t = 1 then d = 110.

From equation (1) d can be replaced by f(t) then we have

f(t) = 110t----------------eqn(2)

Now we replace d by f (t), because d = f t):

f(t) = 120t

Therefore, The function that relates the distance traveled d to the time is f(t) = 120t

Given a triangle with side lengths of 8 & 23
What is the range of possible lengths of the 3rd
side?

Answers

Answer:

i think it cud be 93 multiply The 3 times

Step-by-step explanation:

i think its that

NEED HELP!! what makes this equation true enter the answer in the box ÷ 8 = 4

Answers

Answer:

32 divided by 8 =4 Just multiply 4 and 8 to get your answer.

Step-by-step explanation:

Hey! hoped I helped Im Eve btw Have an amazing day and consider marking this as brainliest if you do thank you in advance!

The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?

Answers

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

420+69+911+1080=? Im slow help

Answers

Answer:

Step-by-step explanation:

420 + 69 + 911+ 1080

489 + 911 + 1080

1400 + 1080

2480

At the King School, 55% of the students take a bus to school. If 220 students take a bus to school, how many students are there in total?

Answers

Answer:

400 student

55/100 * x(unknown) = 220

55x/100 =220

CROSS MULTIPLY

55X = 22000

X = 22000/55

X = 400

The total number of students at the King School is 440.

Given that, at the King School, 55% of the students take a bus to school.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of students be x

So, 55% of x =220

⇒ 55/10 ×x=220

⇒ 0.55x=220

⇒ x=220/0.55

⇒ x=440

Therefore, the total number of students at the King School is 440.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

what is the equation of the line

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

X = 3

Step-by-step explanation:

I HOPE, PLS DON'T HATE ME :(

In 2006 the average ticket price for a national football league game was 62.38. Since then the cost has increased an average of $2.54 per year. Write a linear equation to represent the cost of C of an NFL ticket y years after 2006.

Answers

Answer:

y = 2.54x + 62.38

Step-by-step explanation:

Let x represent the duration or stipulated years after the year 2006

Let y represent the amount of ticket that is sold

Let m represent the average increase in the price every year

y = mx + c

y = 2.54 × x + 62.38

y = 2.54x + 62.38

Answer:

C=2.54y+62.38

c=2.54y+62.38  

C=62.38+2.54y  

or

c=62.38+2.54y

Step-by-step explanation:

I don't know but that's the official answer.

Can somebody plz answer these questions correctly thanks!!

WILLL MARK BRAINLIEST WHOEVER ANSWERS FIRST! :DDD

Answers

Answer:

The decimal form of 3/5 is .6 or .60 and the percent form is 60%.

The fraction form of 0.3 is 30/100 or 3/10 and the percent form is 30%.

The decimal form of 3/20 is .15 and the percent form is 15%.

The fraction form of 0.58 is 58/100 or 29/50 and the percent form is 58%.

The decimal form of 19/50 is .38 and the percent form is 38%

A circle with area 64 cm2 has a
sector with a 45-degree
central angle.
The area of the sector is
cm2

Answers

9514 1404 393

Answer:

  8 cm²

Step-by-step explanation:

A 45° sector is (45°)/(360°) = 1/8 of the circle, so its area is ...

  (1/8)(64 cm²) = 8 cm² . . . . area of sector

What is the area of this face?
10 in.
20 in.
5 in.
10 in.
10 in.
5 in.
10 in.

Answers

The picture is missing tell me what it is I will answer in comments

write a function rule for the area, A, of a rectangle whose length is 6ft more than its width, w

Answers

9514 1404 393

Answer:

  A = w(w +6)

Step-by-step explanation:

The length in feet will be w+6. The area is the product of length (w+6) and width (w).

  A = w(w+6)

Which line has a slope of 1/2 and passes through (2,-4) ?

Answers

I believe graph C. (Bottom left)
Since it’s positive slope and goes through quadrant 1

what is 100 x 1000 +20

Answers

Answer:

l00,020

I hope it's HELPFUL to you

PLEASE MARK me in BRAIN LIST

100020

Step-by-step explanation:

100×1000+20

=100000+20

=100020

Select each graph or table that is a function. You must select ALL correct answers

Answers

Photo please? and a function means that it cant have the same number of x axis'

example,

function;

15  6

-46  37

36  -37

27  -25

not a function;

-1  3

5  7

-5  6

-1  8

Answer:

A,b,c

Step-by-step explanation:

If 9y - 5 = 22, find the value of 2y.

Answers

Answer:

3=y

Step-by-step explanation:

9 × 3 = 27 27 - 5 = 22 2y = 5

On Monday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

the answer would be 147.I hope this helps you

Step-by-step explanation:

4h=588

h=588÷4

simplify:4.6t + 7.1s + 12.8t - 1.6s

Answers

Answer:

17.4t+5.5s

Step-by-step explanation:

im sorry if its wrong

What is the value of x?

Answers

Answer:

x=71

Step-by-step explanation:

38+x+x=180

x+x=142

2x=142

x=71

what is 7.0893 as a decimal but in word form.​

Answers

Answer:

seven and eight hundred ninety-three ten-thousandths

Step-by-step explanation:

Seven and eight hundred ninety-three ten- thousand or seven point zero eight nine three

An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia, but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added, given that 4 quarts equals a gallon

Answers

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

7.5

Step-by-step explanation:

Ramu worked 8 hours and got 400 rupees as wages. Benny worked 6 hours and got 300 rupees.
Are the wages proportional to the hours of work?

Answers

Answer:

Step-by-step explanation:

Son directamente proporcionales porque cuanto mas horas trabajes mas dinero ganaras

help plz and thank u if u do

Answers

The value of b is (4,5)

ASAP SOMEONE HELP ME PLZ

Answers

Ok so you find the area of the yellow and the red and the area of the yellow you subtract it with the area aid the red that should give you the correct answer

40 POINTS PLS HELP IMEDIATLY
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.

When f(x) becomes f(x) − 3
When f(x) becomes −2 ⋅ f(x)

Answers

Part A)
If f(x) - 3 is the new equation, it means there is a vertical translation of f(x) down 3 units. The y-intercept will decrease by 3 units. Areas of increasing on the function may be lessened as the function is being translated down 3 units. The areas of decrease will increase because the function is being translated down. End behaviour will not change from a translation as long as the function is continuous at each end, (not a finite function with end points). The evenness or oddness of f(x) will not change either.

Part B:
The y-intercept will be flipped horizontally about the x-axis and multiplied by 2. This will mean that if the y-intercept was positive, it will now be negative and vice versa. The increasing and decreasing regions of the graph will be flipped, so anywhere f(x) was positive will now be negative and vice versa. They will also be double what they were before because all values are multiplied by 2. The end behaviour will switch. If f(x) was from Quad1->Quad3 for example, it will now be Quad2->Quad4 because of the flip at the x-axis. The evenness and oddness of the function will not change seeing as the degree of f(x) is not affected.

A box of 15 cookies costs $9. How much does 10 cookies cost?

Answers

$6

Step-by-step explanation:

divide 15 divided by 3 = 5

divide $9 by 3 = $3

2/3 of 15 is 10

$3+$3=6$

Answer:

5,6, or 7

Step-by-step explanation:

if there are options

hippidy hoppidy b***hes are property

I need help like really bad.

Answers

Answer:

PEMDAS

Step-by-step explanation:

parenthesis

Exponents

Multiply

Divide

Add

Subtract

The art club had an election to select a president. 40% of the 85 members of the club voted in the election. How many members voted?

Answers

Answer:

34

Step-by-step explanation:

58.6 km/h in cm/min solve and explain me ​

Answers

Answer:

PLEASE MARK AS BRAINLIEST!!!!!!!

58.6 kilometer/hour = 97666.666667 centimeter/minute

Step-by-step explanation:

How to Convert Centimeter/minute to Kilometer/hour

1 cm/min = 0.0006 km/h

1 km/h = 1666.6666666667 cm/min

Example: convert 15 cm/min to km/h:

15 cm/min = 15 × 0.0006 km/h = 0.009 km/h

The zoo has 12 Emperor penguins, which makes up 24% of all penguins at the zoo. How many penguins live at the zoo?​

Answers

Answer:

[tex]50[/tex] penguins

Step-by-step explanation:

Let [tex]p[/tex] = number of penguins at the zoo

[tex]24\%p=12[/tex] (Is given that 12 Emperor penguins at the zoo make up 24% of total penguins)

[tex]0.24p=12[/tex]

[tex]p=12\div0.24[/tex]

[tex]p=50[/tex]

∴ There are [tex]50[/tex] penguins at the zoo

Hope this helps :)

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