Question

Answer all please!

3. Explain the grouping method of factoring. Describe a scenario when the grouping method would be preferred over other methods and provide an example of this type of problem.



4. Graph one of your 2nd degree functions from question 1. Identify which function you used and the key features of your graph. Explain how to find them algebraically.



5. Using your graph from question 4, describe if the average rate of change is increasing or decreasing, from left to right. Justify your observations with calculations.

Answer 1

I can only answer #3 since the others require something from question 1, which is not shown.

The grouping method is used only when there is an even number of terms. When certain sides of the expression have a similar "coefficient", it is used. It's a little difficult to explain, but:

\[2x ^{3} + 4x ^{2} + 2x + 4\]
\[2x ^{2} (x + 2) + 2(x+2)\]
\[(2x ^{2} + 2)(x+2)\]

Answer 2

Here is question 1 and my answers, @magix430
1. Your friend runs up to you, scared that he is not ready for the upcoming quadratics test. To help him study, you will create four different quadratic functions. Then demonstrate to him how to rewrite each function as a group of factors, if possible.
The function f(x) is a difference of squares. y = x^3 -8
The function g(x) is a sum of squares. y = x^3(8)
The function h(x) is a perfect square trinomial. y = x^3 6x 8
The function j(x) can only have a GCF factored out of it. y = x^3 2x

1. y = (x 3)(x-3)
2. prime for real numbers
3. y = (x 3)^2
4. y = x(x 2)

Answer 3

Sorry, I don't remember the majority of this material - I've been out of math for 2 years now, but have been just running around trying to get what I could understand out of it. As far as I can see though, f(x) should be a 9 instead of an 8.
Sum of squares I'm not sure if it means that way, but rather more of something directed towards
\[a ^{2} + b ^{2}\]
or something.
h(x) is okay, but you might want to recheck your factorization of the final one.

Answer 4

can you help at all with #'s 4 and 5?

Answer 5

@magix430

Answer 6

A tornado rips through the North Carolina mountains and destroys a huge forest. T

Answer 7

covalent compound CCl4?

Answer 8

tetraphosphorus decoxide?
Express your answer as a chemical formula.

Answer 9

Anatomy Tutorial: Neuron Classification & Organization

Answer 10

need calc checked and finished

Answer 11

3. One light-year is the distance that light travels in exactly one year. If the speed of light is 6.

Answer 12

IS this right?

Answer 13

A 10" diameter pumpkin pie is cut into six equal servings.
What is the approximate area of the top of each piece of pie?

3.

Answer 14

Which correctly lists Continental Army General Horatio Gatesu2019 great victory f

Answer 15

Anatomy Tutorial: Nervous System Overview

Answer 16

Which shows 54^2 u2212 46^2 being evaluated using the difference of squares metho

Answer 17

1 Emily was thrilled to hear that her new Toyota Prius had arrived. 2She called her parents and thanked them as she rode with her sister to pick up the vehi

Answer 18

Favorite fast food restaurant and what do you order there?

I give up on cooking my own food.

Answer 19

Choose the correct product of (5x u2212 11)^2.

25x^2 u2212 110x + 121
25x^2 u22

Answer 20

Out of the 180 students at a summer camp, 72 signed up for canoeing. There were 23 students who signed up for trekking, and 13 of those students also signed

Answer 21

The graph of f(x) = x^2 is shifted 3 units to the left to obtain the graph of g(x).

Answer 22

One last Orgo II Synthesis. I think I understand the last step conversion from ke

Answer 23

A box plot was made to represent the number of matches won by 14 participants in a tennis tournament.

Answer 24

A polynomial function can be written as (x + 2)(x + 3)(x u2212 5). What are the x

Answer 25

The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x^2 u2212 4x + 2