VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40

Answers

Answer 1

This is an interesting problem. The underlying solution is to solve a system of equations.

First we need to define what's a cubic polynomial function :

f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.

We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.

This gives us a system of equation to solve :

[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]

Good luck


Related Questions


Can someone help me and explain on paper , I’m still so confused

Answers

Answer:

Your answer is -5

Step-by-step explanation:

On paper;

What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?

Answers

Answer:

27 minutes

Step-by-step explanation:

(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 min

Find y' when y = (1/x) + tanx

Answers

Answer:

[tex]( - 1 \div x^{2} ) + sec ^{2} [/tex]

The manager of the school bookstore ordered 180 boxes of pencils. Based on the average daily use, she knows that the pencils will last about 30 days. Which linear equation represents the situation?

How many boxes of pencils should the manager expect to have after 20 days?

A. y = - 6x + 180; 120 boxes

B. y = - 6x + 180; 60 boxes

C. y = 6x + 180; 120 boxes

D. y = 6x - 180; 60 boxes

Will give 26 points!!​

Answers

The answer should be A

the equation for the vertical line that goes through point V (−5, 17).

Answers

Answer:

The answer to the above question is x = -5

solve pls brainliest

Answers

Answer:

v=25.6

Step-by-step explanation:

12.8 x 2 = 25.6 therefore you can check by dividing by 2

Answer:

V=25.6

Step-by-step explanation:

[tex] \frac{v}{2} = 12.8[/tex]

Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?

Answers

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

Read more:

https://brainly.com/question/20365394

The midpoint of AB is M (4,2). If the coordinates of A are ( 6,-4) what are the coordinates of B?

Answers

Answer:

(2,8)

Step-by-step explanation:

m (4,2)

(6,-4)

(2,8)

The perimeter of a rectangular garden is 332 m.
If the length of the garden is 93 m, what is its width?

Answers

Answer:

73

Step-by-step explanation:

332÷2= 166

166 - 93 = 73

Please answer. Don't spam!​

Answers

Hello Gumiho!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Find the distance.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Refer to the attached picture for the steps.

Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?

Answers

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

https://brainly.com/question/1349408

Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12

Answers

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.

Answers

Answer:

50+15=65

Step-by-step explanation:

I know because it says total

A can of green beans cost $1.29 but goes on
sale for $0.79. What was the sale on the green
beans?
Plz help!!!

Answers

Answer:

≈ 38.76%

Step-by-step explanation:

Given:

Cost = $1.29Sale = $0.79

Sale percent is:

(1.29 - 0.79)/1.29*100% ≈ 38.76%

Which graph represents the function f(x) = 1/3|x|?

Answers

Answer:

Whichever one looks like this

Step-by-step explanation:

6) Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1,-1).
A) y = 2x + 1
B) y = 2x + 3
C) y = 4x + 3
D) y = 4x + 5

Answers

Answer:

A Y=2X + 1

Step-by-step explanation:

2x wouldn't the same because of the fact that is Is a parallel line and setting the slope to 1 caused it to pass through (-1,-1)

Help with test review homework please.

Answers

answer:
A. 11p^13
B. 10m^15

Answer:

11p^(13)

10m^(15)

Step-by-step explanation:

11×11=121 so sqrt(121)=11

Since 26/2=13, then p^(13)×p^(13)=p^(26). This implies sqrt(p^26)=p^13.

sqrt(121p^26)=11p^(13)

In short, you just find sqrt of 121 since 121 is a perfect square and then do p^(26/2) since 26 is even and be done.

Other problem is similar.

Sqrt(100)=10 and m^(30/2)=m^(15).

The answer is 10m^(15).

If a motorist asks for ten dollars
worth of gasoline and gasoline
is selling at $1.29 per gallon,
find the number of gallons she
will receive, to the nearest tenth
of a gallon.

Answers

she would get 7.7 gallons of gas

solve pls brainliest

Answers

Answer:

a. 9m/s × 27s = 243m

b. -6°C/3hrs = -2°C/hr

what is the answer to 8 + k ≤ -3

Answers

Answer:

less than or equal to -11

Step-by-step explanation:

subtract 8 to both sides

k< or equal to -11

Please help! Will brainliest!

Answers

Answer:

a= 6-b ,,, a+b=6

a+b= -2a-3,,, 3a+b=-3

2a=-9,,, a= -9/ 2

b= 21/2

5) What is the slope of the line?
50 POINTS PLS HELP ASAP AND THANK YOU

Answers

Answer:

The answer is C.

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yardof fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?

Answers

9514 1404 393

Answer:

 no; the yardage should be more than 0.75 yards

Step-by-step explanation:

A value that is 15% more than 0.75 will be a number that is greater than 0.75. The number 0.1125 is much less than 0.75, so cannot be the correct amount of fabric.

Chloe did not cut the correct amount.

(the correct amount is 0.8625 yards)

_____

Additional comment

Often, all that is needed for answering a multiple choice question properly is ...

  a) an understanding of what the question is asking

  b) comprehension of what the answer must look like.

Here, the directions are saying to cut more than 0.75 yards. The result will be a value that is more than 0.75 (and less than 1).

The value 0.1125 yard is 15% of 0.75 yard. The cut amount should be that much in addition to 0.75 yard: 0.75 +0.1125 = 0.8625 yard.

What is the rational roots of 4x^3+9x^2-x+10=0

Answers

9514 1404 393

Answer:

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

Step-by-step explanation:

The rational root theorem tells you possible rational roots of this equation would be ...

  ±(divisor of 10)/(divisor of 4)

The divisors of 10 are 1, 2, 5, 10. The divisors of 4 are 1, 2, 4. Then the possible rational roots are ...

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

_____

This particular cubic has one irrational real root near -2.689. It has no rational roots.

what does this mean??

Answers

Answer:

"do you mock people's mental states?"

The ____ juice is made with a greater percent of water.

Answers

Answer:

Orange and apple

Step-by-step explanation:

Mark brainliest, isaac farts all the time u don’t want him to fart on u next

What lowest terms fraction is equal to 0.48​

Answers

The lowest terms fraction that is equal to 0.48 is: 12/25

Suppose you buy a new TI-84 calculator that has a listed price of $109.99. How much will you have to pay for the calculator including Michigan sales tax of 6%

Answers

9514 1404 393

Answer:

  $116.59

Step-by-step explanation:

If I had a TI-84 calculator, I could figure it out.

__

The tax is the product of tax rate and taxed amount (rounded to cents):

  0.06 × $109.99 = $6.5994 ≈ $6.60

The amount you have to pay is the total of the listed price and the tax:

  $109.99 +6.60 = $116.59

Find the difference in area between the circle and the triangle. possible answers are
- A=27pi
- A=4pi-8
- A=9pi-9/2radical 3
- A=16/3pi
- A=16​

Answers

Answer:

jo in no w fo r intelligent bio logy class fo r girl cth-qoqo-xvc

Step-by-step explanation:

A=9pi-9/2radical 3

this is the answer

brainliest please

solve pls brainliest

Answers

Answer:

(1,6)

Step-by-step explanation:

all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)

Answer:

(1,6)

Step-by-step explanation:

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