Mathematics High School

If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.​

Answers

Answer 1

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

                  - 5x² - 14x + 24

                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |

Related Questions


At his birthday party, John's mother served a plate of 23 cupcakes. If every person at the party ate the same amount of cupcakes and all of the cupcakes were eaten, how many people
were at John's birthday party?

A) 23
B) 12
C) 6
D) 4

Answers

Answer:

A) 23

Step-by-step explanation:

Let's divide the total number of cupcakes by the different option choices, and see what works and what doesn't:

A) 23/ 23 = 1

   This works, everyone will get one cupcake

B) 23 / 12 ≈ 1.91666667

   This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party

C) 23 / 6 ≈ 3.8333334

   This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party

D) 23 / 12 ≈ 5.75

   This doesn't work, we have a decimal / remainder, while this is a nicer remainder, it still is incorrect

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

I don’t understand pls help

Answers

Answer:

x ≤ 15

Step-by-step explanation:

the first step is to add 3 to each side to get:

x/5 ≤ 3

last step is to multiply each side by 5 to get:

x ≤ 15

Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.

P = $6h + $0.05k

In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?

Answers

Answer:

$351.00

Step-by-step explanation:

Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.

Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.

We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.

Hopefully this helped a bunch! And tell me if you need any further assistance. ( :

Please help!!!!!!!!!!!!!

Answers

Answer:

can you also send a graph that might help rn

Step-by-step explanation:

Math and Science If 7 giant solar power

plants generate 1.3 gigawatts (GW) of

energy to power 900,000 homes, how

many gigawatts can 21 giant solar plants

generate?

Answers

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3

Answers

Answer:

he would do 9 weeks of school

Step-by-step explanation:

count by fives

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer

Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.

(help with the circled ones)

Answers

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box

Jacob has a headache. He can't stand long lists. "Can you repeat that again?" he asks. "It's easy. Name a number that is greater than 10, less than 20, is a multiple of 7, and FINALLY is a factor of 42," Replies Eric.

Answers

i think it would be 14. greater than 10 and less than 20. 42/3 is 14 and 7 times 2 is 14

Answer:

Well here are the constraints given to us here

Lets make this number “x”

x > 10

x< 20

7x

X = 1, 2, 6, 7, 21, 42

So with all this we can come up with this

10 < 7x < 20 = 1, 2, 3, 6, 7, 14, 21, 42

So lets cut this down a bit

It’s gotta be a multiple of 7 so we can get rid of 3 of the solutions

It can be 7, 14, 21, 42

Now it has to be more then 10 but less then 20

So that gets rid of everything except 14

14 is your answer

Solve the Equation [tex]\frac{5}{2}[/tex] · X = 1

Answers

[tex]\dfrac 52 \cdot x = 1\\\\\implies 5x = 2\\\\\implies x = \dfrac 25[/tex]

Answer:

5/2

Step-by-step explanation:

T
Зл
Solve for the interval <<
2
2
3. 2 cos? 0-5 cos e = 3
(it put it in wrong so i put a picture of the question)

Answers

Answer:

540 g m/s.

Step-by-step explanation:

sharon ate 2 pieces of pie. if this was 25% of the whole pie, how many pieces were there were originally.

Answers

Answer:

8

Step-by-step explanation:

25 divided by 2 is 12.5.

100 divided by 12.5 is 8

Answer:

8

Step-by-step explanation:

2 is 25% so, 2 times 2 is 4

4 is 50% so, 2 times 3 is 6

6 is 75% so, 2 times 4 is 8

8 is 100% of the pie

A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

The answer is xyz because the answer is

Do number 12 on the pic

Answers

Answer:

  $21.83

Step-by-step explanation:

The amount spent will be the difference between the starting balance and the ending balance:

  18.53 -(-3.30) = 18.53 +3.30 = 21.83

You spent $21.83 on lunch this week.

If you bought 12.6 gallons of gasoline as $1.20 per gallon, how much did the gasoline cost?

Answers

Answer:

15.12$

Step-by-step explanation:

Gallons = 12.6

Cost = $1.20

Gasoline Cost = ??

12.6 ×1.20

=15.12

Hence, gasoline will cost 15.12 $

pls mark me as brainliest! :D

PLEASE HELPPPP !! Which points have positive y coordinates?
A) A and F
B) A and B
C) F and H
D) B and F

Answers

B is the correct answer

(7-3t)-5(1.6t+5) please help me

Answers

Answer:

5t - 18

Step-by-step explanation:

to much to type but that's the answer to your question

Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 15.

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

If there are six sides on a die then there are 36 different rolls

The factors of 15 are (3×5) and (5×3) so you would get 2/36

When you simplify that you get 1/18

I hope this helps!!

Step-by-step explanation:

there are six squares in each dice so 3×5=15 and 5×3=15answer is 1/8

Identify if the table below shows a proportional relationship.
x
y
1
5
02
2
.
7
5
13
Proportional
Not Proportional

Answers

Answer:

i know answer i heard some were i think

What is (16x+9)+(−9x−5) ?

Answers

the awnswer is 11 hope it helps

Which equations are equivalent?

1. 2(6x+15-5x)+4=40

2. 40=2(15-x)+4

3. 12x+30-10x+4+40

A- 1 & 2

B- 2 & 3

C- 1 & 3

D- None of the equations are equivalent

Answers

Answer:

B

Step-by-step explanation:

laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?

Answers

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

Which of the ratios below has a unit rate of 5?

Answers

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220

Answers

Answer:

1225

350/2=175

175 x 7 = 1225

What is the total mass if 120% of the mass is 720 kg?

Answers

Answer:  600

Step-by-step explanation:

 Let the mass as x.

So,

120% of x = 720

» 120 x/100 = 720

» 6 x / 5 = 720

x = 720×5 / 6

= 120 ×5 = 600 Ans.

helpfully...

brainliest.

Answer:

= 120 ×5 = 600 Ans.

Step-by-step explanation:

The mean of 16, X, 3, 14,57 is 22. Find
Х

Answers

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?

Answers

Answer: $4

Step-by-step explanation:

If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4

Answer:

$4

Step-by-step explanation:

divide 8 by two

to find the price of one prego pasta divide the cost of your object  by the amount of objects

Please help meeeee please please c

Answers

Answer:

the item would cost $9000

if you subtract 15 from a number and multiply by-6, the result is -54. What is the number?​

Answers

Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

Solve the equation or inequality. t/3+t/2−350=270

Answers

Answer:

t=744

Step-by-step explanation:

t/3+t/2-350=270 add 350 on both sides

t/3+t/2=620 convert both fractions containing t into a fraction with a common base

2t/6+3t/6 = 620 add the fractions containing t

5t/6=620 factor out the 5

5*(t/6)=620 divide both sides by 5

t/6=124 multiply both sides by 6 (note, you could have just divided 620 by 5/6 on both sides, or multiplided both sides by 6/5)

t=744

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