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)
I
Classmate
Conjecture
Emily
Zach

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.