lucas and erick are factoring the polynomial 12x3 – 6x2 8x – 4. lucas groups the polynomial (12x3 8x) (–6x2 – 4) to factor. erick groups the polynomial (12x3 – 6x2) (8x – 4) to factor. who correctly grouped the terms to factor? explain.

Answers

Answer 1
Answer:

Answer:

Both the students were correct.

Step-by-step explanation:

Given : The polynomial is - 12 x^3 - 6 x^2 + 8 x - 4

To find : Who correctly grouped the terms to factor.

Lucas group the polynomial - ( 12 x^3 + 8 x ) + ( - 6 x^2 - 4 )

Now, we solve the Lucas polynomial

(12x^3+8x) + (-6x^2-4)= 4x(3x^2+2 )-2(3x^2+2)

(12x^3+8x) + (-6x^2-4)= (3x^2+2 )(4x-2)

(12x^3+8x) + (-6x^2-4)= 2(3x^2+2)(2x-1)

Erick group the polynomial - (12x^3-6x^2) + (8x- 4)

Now, we solve the Erick polynomial

(12x^3-6x^2) + (8x- 4)=6x^2(2x-1)+4(2x-1)

(12x^3-6x^2) + (8x- 4)=(6x^2+4)(2x-1)

(12x^3-6x^2) + (8x- 4)=2(3x^2+2)(2x-1)

The factors of Lucas and Erick are same.

Each grouping leads to the same result. 

Therefore, Both students are correct.

Answer 2
Answer:

Answer:

Sample Response: Both students are correct because polynomials can be grouped in different ways to factor. Both ways result in a common binomial factor between the groups. Using the distributive property , this common binomial term can be factored out. Each grouping results in the same two binomial factors.

What did you include in your response? Check all that apply.

Polynomials can be grouped differently to factor.

Each way results in common binomials.  

Each can be factored as a product of prime polynomials.

Step-by-step explanation:


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What is the simplest from of this expression? -n(-2n^2-8)+(-n)(-5n^2+6)
Correct answer will be marked as brainliest
a washer and a dryer cost 659$ combined. The washer costs 91$ less than the dryer, how much was the dryer?
28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. From this information, calculate the density of iron.
Round the number to the hundredths place 12, 863 .14 846?A. 12,863.14 B. 12,900 C. 12,863.15 D. 12,800

If you wanted to use the numeric key pad to divide 100 by 2, you would type _____.2/100
100-2
100*2
100/2

Answers

For this case we have the following division:

\frac {100} {2}

We want to rewrite the problem in an equivalent way.

For this, we can use the following symbols that represent a division.

We have then:

\frac {100} {2} = 100 ÷ 2

\frac {100} {2} = 100/2

Answer:

If you wanted to use the numeric key pad to divide 100 by 2, you would type 100/2

What is the solution of the system? Use substitution. 4x – y = 5
3x – 7 = 2
A) (3, 7)
B) (7, -7)
C) (-3, 7)
D) (3/4, 2/5)

Answers

Hi

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5 so we can find the value for y

4x-7=5

4(3)-y=5

-y+12=5

Add -12

-y+12-12=5-12

-y=-7

Now divide both sides by -1 so we can find the positive value for y

-y/-1=-7/-1

y=7

The answer is A

(3,7)

Good luck:0


Find the side length and round your answer to the nearest hundredth.

Answers

Answer:

√180 or 5√6

Step-by-step explanation:

Plug in: a^+b^2=c^2

a^2+12^2=18^2

a^2+144=324

subtract 144 from both sides

a=√180

a= 5√6

Are all horizontal lines parallel

Answers

By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line

Of a total of 100 buses operated within a particular town, 48 usually run on time and 36 of these buses are owned by Jerry. Of the 52 buses that usually run behind schedule, only 7 are owned by Jerry. The probability that a bus is owned by Jerry, given that it runs on time, is 75 %. The probability that a bus is owned by Jerry, given that it runs late, is __%.Show your work.

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below is similar question:

48 out of 100 private buses usually run on time. Out of the buses that are on time, only 36 are owned by Jerry. Out of the remaining 52 buses that usually run late, only 7 are owned by Jerry. What is the probability that a bus is owned by Jerry, given that it runs on time?
 A. 0.58
B. 0.67
C. 0.75
D. 0.81

The answer is C as 36/48 = .75

Based on the number of buses owned by Jerry that usually run late, the probability that a bus owned by Jerry would run late is 13.5%.

What is the probability that Jerry's bus would run late?

This can be found as:

= Number of buses that Jerry owns which run late / Total number of buses that run late

Solving gives:

= 7 / 52

= 13.5%

Find out more on probability at brainly.com/question/20900544.

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What is 76/100 simplified

Answers

Find the highest common factor between 76 and 100.
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 100: 1, 2, 4, 5, 10, 20, 50, 100

The highest common factor is 4. Divide 76 and 100 by 4.

(76)/(100) =  (19)/(25)