Scenario: Multiplying Polynomials

Instructions:

View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures

Emily and Zach have two different polynomials to multiply:

Polynomial product A:
(4x2 – 4x)(x2 – 4) Polynomial product B:
(x2 + x – 2)(4x2 – 8x)
They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)

Classmate Conjecture
Emily



Zach



Evaluating the Conjectures

Who do you think is correct? (1 point)




Analyzing the Data

Table Method:

2. Use the table to find the products of the two polynomials. Write your answer in descending order. (4 points: 2 points for each product)

A) (4x2 – 4x)(x2 – 4)

4x2 –4x
x2
–4










B) (x2 + x – 2)(4x2 – 8x)

there's another part on my profile, can u do it to please!!

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

It can't be write in a standard form

Answer:

1

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!

Answer:

3 1/3 FT 3

Step-by-step explanation:

im not sure if this right but i tried lol

Answer:

There is not enough info you need to add a picture of the box to measure it.

Answer:

in lowest term it's

Step-by-step explanation:

10/33

Answer:

10 : 33

Step-by-step explanation:

Both 20 and 66 are multiples of 2.

20 = 2 x 10

66 = 2 x 33

So, this ratio becomes 2 x 10: 2 x 33

Dividing both sides by 2 gives us 10:33, which can't be simplified further.

Answer:

Scale factor = 1.5

Step-by-step explanation:

Formula for the scale factor,

Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]

In this question, image is triangle Y and preimage is triangle X.

Scale factor of X to Y = [tex]\frac{15}{10}[/tex]

                                    = 1.5

Therefore, scale factor = 1.5 is the answer.

Answer:

Choose option D. Angle 3 and Angle 6

Step-by-step explanation:

Angle 3 = Angle 6 ( being alternate angels)

Hope it will help :)

Answer:

congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.

Step-by-step explanation:

I really hope this helps!

Answer:

You aren't posting pictures

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

In four acres there are 3 gardens so you just have to multiply 4x3=12

Answer:

Step-by-step explanation:

the integers are -8,-7,-6,-5,-4,-3,

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

Answer:

m∠BAC=135°

Step-by-step explanation:

360- 84=276

276-141=135

Hope this helps!

Please mark me brainliest if you can. :)

Answer:

Step-by-step explanation:

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

Answer:

-6

Step-by-step explanation:

8 - 2 = 6

But, its has - in it so with that being said, its    -8 minus -2 = -6

Answer:

-6

Step-by-step explanation:

hope this helps!

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

Answer:

329

Step-by-step explanation:

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

Answer:

Step-by-step explanation:

Answer:

it is A

Step-by-step explanation:

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

Answer:

-1

explanation:

because I used a graphing calculator

Answer:

I don't know all of these, but I do know some.

Step-by-step explanation:

1. LA ≅ SA Given

2. I'm sorry I don't know this

3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.

4. △LAT≅△ TAS and I believe it's SAS for the reason.

Answer:

Answers in explanation

Step-by-step explanation:

LA ≅ SA              |  Given

TA ≅ TA              |  Reflexive Property

∠LAT ≅ ∠SAT    |  Definition of angle bisector

△LAT ≅ △SAT   |  SAS

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

Answer:

The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]

Step-by-step explanation:

We need to write the equation of the line that passes through the points (7,-8) and (2, -8).

We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal  line.

The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]

where m is slope of the line.

To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]

So, we find the slope : m = 0

Now, using the point (7,-8) and slope m =0, the required equation is:

[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]

So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.