The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

Answers

Answer 1

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer 2

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:


Related Questions

Ryan achieved an 89% on the same multiple choice test. He answered some questions correctly, left at least one blank and
got at least one wrong answer. He also got some possible points for extra credit. Give one possible answer combination of the
questions Ryan could have answered on the multiple-choice test.

Answers

Answer:

Ryan could have answered multiple choice answers and true or false answers rather than knowledge answer like written prompts

Step-by-step explanation:

Hope this helped:)

EASY BRAINLIEST , What is the equation of the line parallel to the line y = 4 and passing through the point (2, -1)?

Answers

Answer:

y = 2

Step-by-step explanation:

Since the line is horizontal, and the line goes through the x-coordinate 2, this is the equation

Laura buys a saddle in the UK for £850 Delivery is free. Steve buys the same saddle from Holland for 990 Euros. He pays 15 Euros for delivery. £1 = 1.18 Euros Including the delivery charge, whose saddle is cheaper?

Answers

Answer:

Laura's saddle is cheaper

Step-by-step explanation:

We want to convert from euros to pound and compare which purchase is more expensive.

given data

we are told that Steve buys the same saddle from Holland for 990 Euros

given the exchange rate in pounds, it will be

£1 = 1.18 Euros

 x=990 Euros

cross multiply we have

x=990/1.18

x= £838.98

Steve buys at  £838.98

delivery charge is  15 Euros to pounds

£1 = 1.18 Euros

 x=15 Euros

cross multiply we have

x=15/1.18

x= £13.04

to expenses incurred by Steve= £838.98+£13.04

=£852.02

Laura's saddle is cheaper

8x + 7y = 2
8x + 3y = 10

Answers

Answer:

what do you want from this question?

Step-by-step explanation:

What is 2.31 of 5.02

Answers

Answer:

11.5962

Step-by-step explanation:

2.31 of 5.02

In mathematics, saying "of" is the same as multiplying the two values, hence the problem is;

2.31 * 5.02

= 11.5962

(ANSWER FAST PLSS)In AABC, what is the measure of angle B?
B
(2x)
(x+2).
140
A
046
0480
0700
092

Answers

The answer and angle is 140 92 degrees

Vanessa wanted to buy chocolate online. The Chocolatier A offers 2 pounds of chocolate for
$32.50, while the Chocolatier B offers 2 pounds of the same chocolate for $35.00. Which
company is offering the lowest price per pound?
Both companies have the same price
Chocolatier B
Chocolatier A

Answers

Answer:

Chocolatier A has the lower price.

Step-by-step explanation:

32.50 < 35

Derek made 15 baskets. This was triple the number of baskets he made on Saturday
Which equation can be used to find, x, the number of baskets Derek made on Saturday?


A) x-3 = 15

B) x/3 = 15 (the x is in fraction form x over three just so u know)


C) x+3 = 15

D) 3x = 15

Answers

D. Triple the amount means multiplying

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation can be used to find, x, the number of baskets Derek made on Saturday.

3x = 15

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of baskets made = 15

This was triple the number of baskets he made on Saturday.
This means,

3x = 15

Number of baskets made on Saturday = x

Now,

3x = 15

Divide both sides by 3.

x = 5

The number of baskets made on Saturday is 5.

Thus,

The equation can be used to find, x, the number of baskets Derek made on Saturday.

3x = 15

Option D is the correct answer.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Determine the intercepts of the line.
x-intercept:( , )
y-intercept:( , )

Answers

Answer:

x-intercept: (-7,0)

y-intercept: (0,2)

Step-by-step explanation:

The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).

The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.

Hope this helps you :)

X-intercept: (-7,0)
Y-intercept: (0,2)

Gabriella ran several laps around a 1/4-mile track. Then she ran 2 1/2 miles on a trail. In all, she ran 4 miles. Write and solve an equation to find l, the number of laps Gabriella ran.

Answers

9514 1404 393

Answer:

1/4×l +(2 1/2) = 4l = 6

Step-by-step explanation:

For l laps around a 1/4 mile track, the total distance is ...

  l×(1/4)

After adding 2 1/2 miles to that, Gabriella's total distance was 4 miles:

  l×(1/4) +(2 1/2) = 4 . . . . an equation to find l

__

We can solve this equation by subtracting 2 1/2, then multiplying by 4.

  l×(1/4) = 1 1/2

  l = 4(1 1/2)

  l = 6

Gabriella ran 6 laps on the track.

I need this asap

What is the slope of this graph?

A: 3

B: - 1/3

C: 1/3

D: -3

Answers

Answer:

d, -3

Step-by-step explanation:

Paola and Tom opened a lemonade stand. This week they sold 20 cups of lemonade and received $5 in tips. If they spend $30 on supplies, which inequality could be used to find x, the price of each cup they must sell to make a profit?

Answers

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

Q1)Complete the table of values of y=6/x

Q2)Which of A,B or C is the correct curve for y=6/x


I will give brainliest!!! Help pleaze​

Answers

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

What does x an y represent

Answers

Answer:

x represents the bottom and y represents the top

Step-by-step explanation:

Answer:

grid

Step-by-step explanation:

So they x in the grid it a straight line in the middle ok. Then we have the y which is the one that's up and down in the grid. Also when the numbers are added that are ploted somewhere on the x goes first because x goes first in the alphabet.

Now first tell me whts 9.6- 26.8
but I already kno!

Answers

Free variably points -17.2

en la escuela de Mario se construye una cancha de baloncesto a partir del dibujo a escala

Answers

Answer:que?

Step-by-step explanation:

Answer:

· Dibuja la cancha de Baloncesto con medidas a escala #escudomania #aprenderadibujar #dibujarfacil Hola, bienvenido a este canal #escudomania, aqui encontraras...

Step-by-step explanation:

im tired of brainly today i will sue you if you dont clean up your ways!


Sincerely- Donald J Trump

Answers

Answer:

Great speech!

Step-by-step explanation:

F DONALD TRUMP !!!!!!!!!!!!!

Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom combined if h represents the number of hours Tom worked?

Answers

Answer:

X=5+h

Step-by-step explanation:

Solve for x.
75°
11x-2

Answers

Answer:

x=7

Step-by-step explanation:

Anyone? Would appreciate it.

Answers

Answer:

correct

Step-by-step explanation:

Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!

Answers

Answer:

A i think

Step-by-step explanation:

cause its gonna be more than 6- so yeah if it is right then b

The area of a circle, in terms of π, is 196π m2.
Find the value of the radius.

Answers

Step-by-step explanation:

if area of circle = pi times radius^2,

area of circle divided by pi = radius^2

so, square root (area of circle divided by 2) = radius.

so, 196pi = m2

approx 616

616=m2

sqrt 616 =m

approx value of radius is 25 or 24.8

pls mark this as brainliestttt

Help me with my ixl please, I don’t get this

Answers

Answer:

sas

Step-by-step explanation:

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (negative 20) + 8

Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.

Answers

The first statement makes most sense

Answer:

A I got it right on edge.

Step-by-step explanation:

Select the graph of g(x) = |-2х + 6|
can someone tell me if this is right

Answers

Answer:

no

Step-by-step explanation:

the graph should be facing up.

It is a also hi I am lulu

There were 7,313 more searches in the library book checkout system in January than February. In February there were 8,972 searches, how many searches were done in both months?

Answers

Given:

Searches in February = 8972

There were 7,313 more searches in the library book checkout system in January than February.

To find:

The searches in both months.

Solution:

Searches in February = 8972

There were 7,313 more searches in the library book checkout system in January than February. So,

Searches in January = 8972 + 7313 = 16285

Now,

Total number of Searches in both months = January + February  searches

[tex]=16285 + 8972[/tex]

[tex]=25257[/tex]

Therefore, total number of searches in both months is 25257.

What is the rectangular form of 17(cos(315°) + isin(315°))?

Answers

The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The rectangular form of 17(cos(315°) + isin(315°)).

We know that the value of cos 315° and sin 315°.

[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]

Then the value of the expression will be

⇒ 17[(1/√2) – (1/√2)i]

⇒ (17√2 / 2) – (17√2 / 2)i

Then the correct option is A.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

A

Step-by-step explanation:

If a cotton candy vendor has 16 blue cones which is 50% of the total number of cones, then how many TOTAL cones does he have i need answers FAST like before the end of the week

Answers

Answer:

He has a total of 32 cones

Step-by-step explanation:

What is the volume of a hemisphere with a diameter of 41.6 m, rounded to the
nearest tenth of a cubic meter?

Answers

Answer:

Step-by-step explanation:

Given

diameter of 41.6 m

So radius =41.6/2= 20.8

Solution

volume of a hemisphere=4/3πr^2

=4/3×3.14×20.8×20.8

=5433.9584/3

=1811.319

So the answer is 1811.319 =1811(nearest 10)

Answer:18847.3

Step-by-step explanation:

Charlie bought 2 3/4 pounds of pears for $.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes

Answers

Answer:

$5.94

Step-by-step explanation:

Multiply 2.75 by $0.76 to get $2.09

Multiply 2.75 by $1.40 to get $3.85

Add $3.85 and $2.09 to get $5.94

Answer:

$5.94

Step-by-step explanation:

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