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: there's one more screen shot but the limit is 5... so ill type it out!

7. Are the two products the same when you multiply them vertically? (1 point)

Yes they are

Making a Decision:

8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)

They were both correct

9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)

I prefer the first one, Table method. To me it is easier and the fastest out of them all.

Tell whether each angle is acute, right, obtuse, or straight.

The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?

SOME ASSISTANCE PLS M8S!!​

Victor knows that 2 + 7 = 7 + 2 and 2.7= 7.2.
He wonders if 27 = 72.
Fill in the blanks to explain whether 2 = 72.

The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
a. 3x - 4
b. 4 - 3x
c. 4x - 3
d. 3x + 4
e. 3 - 4x

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.

Use the​ four-step method in problem-solving to solve the problem.

Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each​ year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716

b. (1-4) Name two obtuse
angles in the shape
below:

PLEASE HELP DUE SOON FIRST GOOD ANSWER GETS BRAINLIEST

show that x^2 + y^2 + z^2 = 3(2x-y) -1 is a sphere

Roberto is going to the zoo! The entrance fee is $25 and each souvenir costs $3.75. He
has $40. Roberto thinks that this inequality could be use to find the number of souvenirs
he can purchase. Is he correct?
3.755 + 25 < 40
No the inequality symbol should be greater than or equal to
No it should be minus 25
No the letters should be next to the 25
yes this is correct

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.

a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm

both are x=
27. x=
28.x=

What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is

Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?

In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders

Josie packed unit cubes into a prism, as shown. Which statement about the volume of the box is true?

What is the next term of the arithmetic sequence? -4,-9,-14,-19,

Someone please help!!

help please asap i need this done

Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.

orapns of Polynomial Functions
Question 10 of 10
Which of the following is an x-intercept of the function, f(x) = x2 -5x2 - 8x +48
?
A. -4
o
B. 4
C. -2
O
D. 2

A circle has radius 50 cm. Find the area of the circle to the nearest hundredth.

You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?

A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi

Please solve the question below 5

Ginger mows
3/4 acre in 1 3/4 hours. What is her unit rate of acres mowed per hour?

Help me pleaseeeeeeeeeeee

Leslie paid $12 for 4 books. What is the unit rate of the book purchase?

Factor 24x – 18 using the GCF​

Simplify (2 + 13) – (2 - 13)
1-m​

Is 5/9 closer to 1, 1/2, or 1?