(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c
where a, b and care positive integers.
Work out the values of a, b and c.

(x + 2)(x + 3)(x + 4) Can Be Written In The Form X + Ax + Bx + Cwhere A, B And Care Positive Integers.Work

Answers

Answer 1

Answer:

[tex]a=9, b=26, c=24[/tex]

Step-by-step explanation:

Let's expand the expression bit by bit.

[tex](x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x^2+5x+6[/tex] by FOIL.

We have that [tex](x^2+5x+6)(x+4)=x(x^2+5x+6)+4(x^2+5x+6)=x^3+5x^2+6x+4x^2+20x+24=x^3+9x^2+26x+24[/tex].

So, the answer is [tex]\boxed{a=9, b=26, c=24}[/tex]

Answer 2

What is Cubic Polynomial?

A cubic polynomial is a type of polynomial with the degree of 3 i.e. the highest exponent of the variable is 3.

The general form of a cubic polynomial is written as p(x): ax³ + bx² + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers.

Given:

(x + 2)(x + 3)(x + 4)

Now, Multiplying the monomial

= (x² + 2x + 3x+ 6 ) ( x+4)

=  (x² + 5x+ 6 ) ( x+4)

= x³ + 4x² + 5x² + 20x + 6x+ 24

= x³ + 9x² + 26x+ 24

Now, Comparing it with the standard form of cubic Polynomial

ax³ + bx² + cx + d

So, a= 1, b= 9, c= 26 and d= 24.

Learn more about cubic Polynomial here:

https://brainly.com/question/28081769

#SPJ2


Related Questions

QUESTIO COURSES SECTION 10F1 SSIGNMENTS Assignment - 41. Test: Basic Math and Algebra Review Attempt 1 of 1 3 4 5 6 7 8 9 10 10 11 12 13 14 15 > A group of four friends go to a high school football game. The cost of admission is $2.50. All four buy sodas for $1.25 and three buy hotdogs for $1.75 each. Which equations can be used to find the total amount they spent at the game? Select all that apply. 4(2.5 +1.25 +1.75) =t 4(2.5 +1.25) + 3(1.75) = t 32.5 +1.25 +1.75) + (2.5 +1.25) = t 4(2 +14+1) - (14) = 4(2 +1) + 3(1x)=t 4(2.5) + 3(1.25 +1.75) = t C​

Answers

Answer:

are you doing mathematical models a too?

Step-by-step explanation:

permutasi dari kata

- jisoo
- cantik
- sudah

note: ...​

Answers

Eh?..

[tex] \: \: \: [/tex]

Answer:

jisoo = 60 word ordercantik = 720 word ordersudah = 120 word order

Step-by-step explanation:

"jisoo"

j = 1

i = 1

s = 1

o = 2

element total = 5double element = letter o(2)

[tex]p = \frac{n!}{k!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{120}{2} [/tex]

P = 60 word order

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

"cantik"

c = 1

a = 1

n = 1

t = 1

i = 1

k = 1

element total = 6double element = -

[tex]p = n! = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]

P = 720 word order

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

"sudah"

s = 1

u = 1

d = 1

a = 1

h = 1

element total = 5double element = -

[tex]p = 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]

P = 120 word order

Find the equation for the horizontal line that goes through the point V(-5,17)

Answers

Answer:

x = -5

Step-by-step explanation:

x = -5 because a horizontal line does not change in y value

Horizontal line that goes through the point V(-5,17) is y=17.

The horizontal line that passing through any point (a,b) is y=b

And it has slope equals to zero.It is parallel to the x-axis in the coordinate plane.

So the horizontal line passing through the point is y=17

Learn more:https://brainly.com/question/11682722

(5 1/4)÷(− 2 1/2) pls help

Answers

Answer:

Step-by-step explanation:= 21/4 divided by -5/2

= 21/4 x -2/5. flipped and multiplied

= -21/10

= -2 1/10

Answer:

-2 1/10

Step-by-step explanation:

5 1/4 = 21/4

-2 1/2 = -5/2

21/4 ÷ -5/2=-21/10 = -2 1/10

Malea sells engraved necklaces
over the Internet. She purchases 50 necklaces
for $400, and it costs her an additional $3 for
each personalized engraving. If she charges
$20 each, how many necklaces will she need to
sell in order to make a profit of at least 5225?

Answers

Answer:

581

Step-by-step explanation:

Answer in the picture

1.If you invest $100 at an interest rate of 15%, how much will you have at the end of 8 years?

Answers

Answer:

$1500 is the answer para po maka tulong ako

Step-by-step explanation:

sana maka tulong

Can anyone help me with this one

Answers

50 hours!

825 (paycheck left over) + 25 (the shirt that was subtracted because he bought it) = $850 total
850 (total amount this week) / 17 (the amount he makes per hour) = 50 (total amount of hours worked this week)

Find the outlier of the data set.
43, 69, 49, 78, 88, 54, 73, 194, 54, 59, 70

Answers

Answer:

194

Step-by-step explanation:

because no one else is above 100

I need help please I have tryed

Answers

Answer:

the answer is 30°

.........

.........

Diane is going to rent a truck for one day. There are two companies she can choose from, and they have
Company A charges $74 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
>
ISO
DO
Х

Answers

Answer:

Step-by-step explanation:

Company A Total Cost:  Ca = $74

Company B Total Cost:  Cb = $65+$0.60m, where m is the miles driven.

We want to find for what values of m with Company A charge less than Company B:

Ca < Cb  ?

$74 < $65 + $0.60m

$9 < $0.60m

15 < m

m > 15 miles

Company A will cost less than Company B when less than 15 miles are driven.  The costs are the same for 15 miles and higher for Company B beyond 15 miles.

Please help!


Which of the following points is located in Quadrant IV?
(-5,2)
(4,3)
(1, -4)
(-6, -7)

Answers

Answer:

(1,-4) is in quadrant IV.

Step-by-step explanation:

Find the value of x that makes the triangle a right triangle.

A.8
B.16
C.18
D.23

Answers

Answer: B.16

Step-by-step explanation:

using pythagoras

[tex]20^{2} = x^{2} + 12^{2}[/tex]

400 = [tex]x^{2}[/tex] + 144

[tex]x^{2}[/tex] = 256

x = 16 and -16

please give me a brainliest answer.

How much simple interest does $4,678.00 earn in 529 days at a rate of 7.3%? Round to the nearest cent.

Answers

Answer:

$5,172.93

Step-by-step explanation:

We're gonna use the simple interest formula: P = A(1 + r(t))

P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

The angles of a quadrilaterals are x⁰, (x-10)⁰, (x+30)⁰ and ( 2x)⁰, then the greater angle is​

Answers

Answer:

136°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x - 10 + x + 30 + 2x = 360 , simplify left side

5x + 20 = 360 ( subtract 20 from both sides )

5x = 340 ( divide both sides by 5 )

x = 68

Then

largest angle = 2x = 2 × 68 = 136°

[50 pts, will mark right answer as Brainliest] A bag contains the following prize tickets:
• 6 tickets labeled “8-ounce bottle of SLIME”
• 2 tickets labeled “4 RINGTONES”
• 8 tickets labeled “32-ounce SLUSHIE”
• 4 tickets labeled “16-ounce ICE CREAM SUNDAE”.
Each of the 190 7th grade students who passed the Math benchmark test will draw a prize ticket from the bag. The prize will be recorded for that student, then the ticket will be returned to the bag. Problem What is a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn?

Answers

Answer:

114

Step-by-step explanation:

Total number of tickets:

6 + 2 + 8 + 4 = 20

Number of slushie or an ice cream sundae prize tickets:

8 + 4 = 12

Probability of drawing a slushie or an ice cream sundae prize ticket:

12/20 = 0.6

Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:

190*0.6 = 114

How to solve this? I don’t get it how it is x=3 where she solve this ?

Answers

Step-by-step explanation:

Given the logarithmic expression:

[tex]3log_{5}2 + log_{5}x = log_{5}24[/tex]

Using the Logarithmic Product Rule:

[tex]log_{a}x + log_{a}y = log_{a}(xy)[/tex]

And the Logartihmic Power Rule:

[tex]log_{a}x^{y} = ylog_{a}x[/tex]

Rewriting your given logarithmic expression by applying the power rule:  

[tex]log_{5}2^{3} + log_{5}x = log_{5}24[/tex]

I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.

    [tex]_{b}log_{b}x = x[/tex]

Raise each logarithmic expression by the same value as the base, 5:  

[tex](_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)[/tex]

2³(x) = 24  (2³ is multiplied with x instead of addition because of the Product Rule).  

Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:

2³(x) = 24

8x = 24

Divide both sides by 8:

8x/8 = 24/8

x = 3

determine the intercepts of the line

x intercept: ?,?
y intercept: ?,?

Answers

Answer:

x-int = 4.5

y-int = -1

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!

Answers

Step-by-step explanation:

the midpoint is(4,1)

that is the answer

Answer:

(4, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = P (6, 6 ) and (x₂, y₂ ) = Q (2, - 4 ) , then

midpoint = ( [tex]\frac{6+2}{2}[/tex] , [tex]\frac{6-4}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4 , 1 )

I rlly need help with thins question asap​

Answers

Answer:

The 3 one is 2 and the forth one is 10

Step-by-step explanation:

i did the math

Answer:

2 miles; 10 miles

Step-by-step explanation:

For a distance of 3,520 yards...

3,520 = 1,760m

Divide both side by 1,760

m = 2 miles

For a distance of 17,600 yards...

17,600 = 1,760m

Divide both sides by 1,760

m = 10 miles


HELPPP PLEASEEEEEEEEE

Answers

Y=4x+7

So 4 is the rate of change because if you solve for y, x is the rate of change
Given the equation, y - x = 3x + 7

Add x to both sides to isolate y:

y - x + x = 3x + x + 7

y = 4x + 7 (This is the linear equation in slope-intercept form, y = mx + b). The rate of change is also the slope of the line, m = 4.

Therefore, the rate of change is 4.

Please mark my answers as the Brainliest if you find my explanations helpful :)

!HELP! What Is the Value of W??

Answers

Answer:  

W equals 31.17

Step-by-step explanation:

Sam Snail is at the bottom of a pipe 30 feet deep. He can crawl three feet up each day, but each night he slides back two feet. How long will it take Sam to get to the surface?

Answers

Answer:

It will take 30 days to reach the top of the 30-foot deep pipe.

Step-by-step explanation:

Let's track Sam Snail's movement each day:

Day 1 -

0 + 3 - 2 = 1

Day 2 -

1 + 3 - 2 = 2

Day 3 -

2 + 3 - 2 = 3

Day 4 -

3 + 3 - 2 = 4

Day ...

We can see that the day always matches up with the height on the pipe. This means for the snail to have traveled 30 feet, he needs to have spent 30 days with a constant rate of movement.

Hope this helps!

Asley paid $800 for a cellphone and sold it for $1050. Calculate the profit % made on the selling phone​

Answers

Step-by-step explanation:

31.25%

1050-800=250

250/800=0.3125

0.3125×100=31.25%

helppppppppppppppppppppppppppp

Answers

the answer is sometimes

1. What is the place value of the 1 in 1,234,567,890? ​

Answers

Answer:

The place value of 1 in 1,234,567,890 is 1,000,000,000.

Answer:

In the ones place there is a 0.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

please helppppp I will mark brainliest

Answers

4 units your welcome and if it’s not what ur looking for ask me

If 1 in = 2.54 cm, how many inches are in 328 cm?


please help it’s due soon

Answers

The answer is 129.134 inches!

Answer:

129.1 inches

Step-by-step explanation:

Recall that 2.54 cm = 1 in.

Write 328 cm and recognize that we need to convert this to inches:

328 cm      i in

------------ * ------------- = 129.1 inches

      1          2.54 cm

Type the integer that makes the following subtraction sentence true: 428 - what = 1,212​

Answers

Answer:

-784

Step-by-step explanation:

428 - ? = 1,212

428 - 1,212 = ?

428 - 1,212 = -784

? = -784

hope it helps!

Answer:

- 784

Step-by-step explanation:

428 - x = 1,212​

1,212 - 428 = - x

- x = 784

x = - 784

The difference of two number is 169 the smaller number is 191 what is the other number

Answers

The answer is: 360,

191 + 169 = 360
360 - 191 = 169

Can someone answer 6x=-7?

Answers

Answer:

Divide each term in 6x=−7 by 6 and simplify.

Step-by-step explanation:

Exact Form:

x=−7/6

Decimal Form:

x=−1.1¯6

Mixed Number Form:

x=−1 1/6

Answer:

x = - 7/6

Step-by-step explanation:

First, divide both sides of the equation by the same term:

6x = - 7

6x/6 = -7/6

Then simplifly and you'll get your answer! ( I won't show how to simplify but if you want to know tell me!)

x = - 7/6

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