Factoring Explanations Classwork
Directions:
For the following problems, you need to explain what method of factoring you will use and explain all the steps in English words. Do your best to format the math answers. *Some are much easier than others!*
Below are two examples:
Example #1: Factor 18x^2-200y^2 completely.

Answer: For this problem, we will use the difference of squares method.
First, we will factor out the greatest common factor which is 2.
2(9x^2-100y^2 )

Second, we must determine what a and b is.
a=√(〖9x〗^2 )=3x
b=√(〖100y〗^2 )=10y

Third, we put our answer in the form (a+b)(a-b), making sure to include the GCF 2.
Answer: 2(3x+10y)(3x-10y)
Example #2: Factor 2x^2-7x-15 completely.

Answer: For this problem, we will use the X method.
There is no GCF, so we will draw an x and put a*c on top (-30) and b on bottom (-7)
-10 and 3 multiply to get -30 and add to get -7.

Second, we split up the equation to now be this:
2x^2-10x+3x-15

Third, we group it together and factor out the GCF from each group.
(2x^2-10x)+(3x-15)

2x(x-5)+3(x-5)

Fourth and Last, we re-group it together to get our final answer.
Answer: (2x+3)(x-5)
Explain the method used and explain fully how to factor a^2-25

Explain the method used and explain fully how to factor 100-9x^2


Explain the method used and explain fully how to factor 12w^2-300


Explain the method used and explain fully how to factor q^3+125


Explain the method used and explain fully how to factor 27g^3-8f^3


Explain the method used and explain fully how to factor 4xy-14x+16y-56


Explain the method used and explain fully how to factor x^2+13x-30


Explain the method used and explain fully how to factor 9x^2+36


Explain the method used and explain fully how to factor 4x^2+15x+14


Explain the method used and explain fully how to factor 3x^2+15x+18

Answers

Answer 1

Answer: Set your trinomial equal to 160(360), then solve for "x". I think from your instructions that this is what it is asking you to do. But, there is a simpler way.

Step-by-step explanation:


Related Questions

tell whether the ordered pair is a solution of the linear system

Answers

3) Yes
4) No, the second equation ends up as 26=11, which is false
5) No, the second equation ends up as -4=0, which is false

6x-3=3x+12
x=
What is the value of x in this equation​

Answers

Answer:

x = 5

Step-by-step explanation:

6x - 3 = 3x + 12

-3x       -3x

_____________

3x - 3 = 12

    +3    +3

_____________

3x = 15

15 divided by 3 = 5

x = 5

You can double check this by replacing x with (5)

If it is right both sides should equal the same

6(5) - 3 = 3(5) + 12

30 - 3 = 15 + 12

27 = 27

This would prove that x = 5

the value of x=5 I think

Can u guys help plz

Answers

your answer is C I'm definitely sure

Answer:

The answer is D.

First you need to  distribute the power on the first bracket, then to make it easier you rearrange the equation into fraction

so it will look like that : [tex]\frac{3^{5}.2^{5} }{3^{2}.2^{3} }[/tex]

and there is a rule that says:

To divide exponents (or powers) with the same base, subtract the exponents.

[tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]

[tex]=3^{5-2}.2^{5-3} \\= 3^{3}.2^{2}[/tex]

write a polynomial function of the least degree with integral coefficients that has the given zeros.
\/
-5+i​

Answers

Step-by-step explanation:

Degree: 3

Zeros: -3, 3 + √3i

Solution point: f(-1) = -172

(a) Write the function in completely factored form.

f(x) =

(b) Write the function in polynomial form.



f(x) =

( 11x + 21 )°
X = ?
Find X

Answers

Answer:

THE ANSWER IS........  I LOVE YOU!

Step-by-step explanation:

WHY: choose you every day, and I'm so lucky you choose me, too. You're my first thought every morning and my last thought before I go to sleep. You inspire a love in me that I never knew was possible

Amelia started a puzzle at 12{:}56 \text { p.M.}12:56 p.M.12, colon, 56, start text, space, p, point, m, point, end text and solved it at 2{:}33 \text { p.M.}2:33 p.M

Answers

Answer:

1 hour 37 minutes

Step-by-step explanation:

Given that :

Time Amelia started puzzle = 12 : 56

Time Amelia solved puzzle = 2 : 33

The time it took Amelia to solve puzzle :

Time Amelia solved puzzle - Time Amelia started puzzle

2 : 33 - 12 :56

12 :56 to 1 :56 = 1hr

1:56 to 2:33 = 37 minutes

Total time spent on puzzle = 1 hour + 37 minutes = 1 hour 37 minutes

15.6 ÷0.24 In long division form

Answers

The answer is = 0.015

y=-2x
x+y=3
What is the value of x?

Answers

Step-by-step explanation:

x+y=3

y=2x

x+2x=3

x=3-2x

it's your required answer

Answer:

x = -3

If you need to find the value of y than substitute x=-3 into equation (1) .

What are three transition words that go against an argument?
A) But
B) Conversely
C) On the other hand
D) Finally
E) Additionally

Answers

Answer:

A) But

B) Conversely

C) On the other hand

Someone help me giving brainliest plz show ur work

Answers

Answer:

19.65 left

Step-by-step explanation:

The total amount that he has is 3 * 12 =                   36 dollars.

From this he buys a CD for                          15.00

There is a 9% tax on 15 dollars 15*9/100 =   1.35

Amount spent =                                                         16.35

Amount left                                                               19.65

Paul saves $3 each week for 12 weeks.

3 × 12 = $36

He buys the CD for $15

The tax is 9% out of $15.

15 × 9/100 = $1.35

In total he spent $16.35

To find the money he has left we take the total amount of money he had before he bought anything and subtract it with the money he spent.

36 - 16.35 = $19.65

Hope this Helps!

:)

When 150 people attend a movie screening and each ticket is priced at
$10, how much money will the owner keep?

Answers

Answer:1500

Step-by-step explanation:

150 x 10 = 1500

Each person is paying 10 dollars, so each of those 150 are paying 10 dolllars which will equal up to 1500.

the owner would keep $1500 because 150 people = 150 tickets. You then multiply this by 10 because the price is $10, giving the owner $1500.

find the total lateral surface area of the prism below ANWSER PLEASR QUICK

Answers

12+12+20+20+60+60 = 184

pls help asap thx alot

Find the missing angle​

Answers

Answer:

v = 60

Step-by-step explanation:

65 + 55 + v = 180

65 + 55 = 120

180 - 120 = 60

v = 60

Gordon rolls a fair dice 114 times.
How many times would Gordon expect to roll a two?

Answers

Answer:

19!

Step-by-step explanation:

Probability of getting "2" in 1 roll = 1/6

No: of times played = 114

Times expect to roll a "2" in 114 times = 1/6 x 114  = 19

I hope im right!!

Find the equation of the straight line which passes through each of the following pairs of points.


(0,-4) (3,-1)

Answers

Y= x - 4

Hope it’s right
Best luck with your studying

Answer:

i belive the awnser is 0.8

Step-by-step explanation:

0.4(3-1)=0.8

Can someone plz help me!!! I’m being timed!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

2:12

4:24

6:36

8:48

If a= 2ft and c= 11ft. Find the missing side of the right triangle

Answers

Answer:

[tex]\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]

Step-by-step explanation:

The formula for finding the any side of the triangle is

[tex]a^{2}+b^{2} =c^{2}[/tex]

We know that a=2 and c=11, so we can go ahead and plug those into the formula.

[tex]2^{2}+b^{2} =11^{2}[/tex]

[tex]4+b^{2} =121[/tex]

To find side b, we have to make it alone on one side. Subtract 4 on both side.

[tex]b^{2} =117[/tex]

Now square root both sides, and that leaves us with:

[tex]b=\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]

What is the measure of C, to the nearest degree?

22°

43°

47°

68°

Answers

the correct answer is 43 degrees or B.

HELP MATH ._. rbiufb3fuib3fu4

Answers

Answer:

Step-by-step explanation:

9/2 is the slope. Slope defines how steep is the straight line.

Slope =  change in y ÷ change in x

In this model, 9 refers to the vertical distance between two points

and 2 refers to  the horizontal distance between two points.

9/2 is a positive slope. It indicates that if 'x' increases, y also increase.

Is this correct? Can anyone check this for me and make sure it is correct. I’ll mark u brainiest if correct.

Answers

Answer:

Yep ur correct!

Step-by-step explanation:

The first one represents the numbers decreasing by a factor of 4 and the 2nd represents it of -10. C is not geometric because it is decreasing by 2 each time in which it would be arithmethic

Answer:

brainly.com/question/22433898?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Step-by-step explanation:

Find the area of the polygon A) 96 m2 B) 192 m2 C) 208 m2 D) 224 m2

Answers

Area of rectangle one:
6x16 = 96

Area of Rectangle two:
8x14 = 112

Total Area:
112+96 = 208 cm cubed

Hope this helps!! :)

The table shows a function. Is the function linear or nonlinear?​

Answers

The table shows a linear function :)

Gustavo's younger brother says that 3.14 is equal to 1. Gustavo knows this can't be right,
because 3.14 is rational and a is irrational. Write an explanation that Gustavo could use to
convince the brother that 3.14 cannot be equal to pi.

Answers

Answer:

gustavo is wrong

Step-by-step explanation:

3.5 x 10^5 minus 2.81 x 10^4

Answers

Answer:

321900

Step-by-step explanation:

3.5 x 10^5 - 2.81 x 10^4

To solve this, you need to use the Order of Operations to do the exponents first.

3.5 x 100000 - 2.81 x 10000

350000 - 28100

= 321900

What is the area of the polygon in the picture.

Answers

Answer:

I got 11

Step-by-step explanation:

Answer:

12.25 cm^2

Step-by-step explanation:

Draw a segment from the bottom of the 1.5-cm vertical side to the bottom side of the entire polygon.

Now you have two rectangles.

The left rectangle has dimensions 3.5 cm by 1.5 cm.

The right rectangle has length 5 cm - 1.5 cm = 3.5 cm and width 3.5 cm - 1.5 cm = 2 cm.

The total area is the sum of the areas of the two rectangles.

area of rectangle = length * width

total area = 3.5 cm * 1.5 cm + 3.5 cm * 2 cm

total area = 5.25 cm^2 + 7 cm^2

total area = 12.25 cm^2

Write an equation to find the area of each figure.Then determine the area.Use 3 for pi.

Answers

48 calculated on my calculator and i worked it out irl your welcome

Which row of Pascal’s triangle would you use to expand (2x + 10y)15?

How many terms are in this expansion? ____ terms

Answers

Answer: 16 terms

Step-by-step explanation:

Answer:

The answer is 16 terms.

The secend part of the question is B. 2∧15x∧15

I WILL MARK BRAINLIEST IF YOU CAN ANSWER THISSSS (9x10)/44+pi = xy what is xy and how did you find your answer?? After typing please look at my quiz below I know the answers but do you??


What character goes to what show (TRY ME! get it right and get brainliest and 5 stars with thanks!! >:3)

1. Zero Kiryu (錐生 零, Kiryū Zero) is both an ex-human vampire and a vampire hunter. Zero is the older twin brother of Ichiru Kiryu, Yuki Kuran's partner, and the biological father of Ren Kiryu.

2. Nina Tucker was the young daughter of bio-alchemist Shou Tucker in _________. A cheerful, innocent girl, she befriends Edward and Alphonse Elric while they temporarily lodge with her and her father during the brothers' attempt to apply for the Amestrian State Military.

3. Ken Kaneki (金木 研, Kaneki Ken) Is the main protagonist in _____ _____. Previously, he was a student who studied Japanese literature at Kamii University, living a relatively normal life until one fateful day ruined his rather peaceful lifestyle.

4. EASY!!
Gon Freecss He is the son of the famous Hunter Ging Freecss and is on a quest to become a Hunter and find his father. Along the way he makes many friends but his best friend is a young boy from a assassin family, named Killua.

5. HARDEST!!!
Jamie Lee Curtis may be one of Hollywood's most unexpected anime lovers to-date. The star made it big with franchises like Halloween, but the iconic scream queen has since traded in slasher flicks for series like ___ _____. Her favorite character is a boy named Luffy. Monkey D. Luffy, also known as "Straw Hat" Luffy, is a fictional character and the main protagonist of the ___ _____ manga series, created by Eiichiro Oda. Luffy made his debut in ___ _____ Chapter #1 as a young boy who acquires the properties of rubber after accidentally eating the supernatural Gum-Gum Fruit.

Answers

Answer:  1.9

Step-by-step explanation:

You want to multiply 9x10 which is 90.

Then you want to add 44+pi

now pi can be shown as 3.14 or 22 over 7

in this case you want to add 44 + 3.14 which gives you 47.14

now you want to divide 90/47.14 which gives you 1.90920661858 or in short

1.9

PLEASE HELP!! BRAINLY ONLY ANSWER IF YOU KNOW CORRECT ANSWER THANKKYOUU <3

Answers

Answer:y=63

Explanation:

1/4(8y—4.8)=2(0.9y+5.4)+3/5

2y-1.2= 1.8y + 10.8 + 3/5 |add 1.2 and minus 1.8y from both sides
2y-1.8y = 10.8 + 3/5 + 1.2
0.2y = 12+3/5
0.2y = 63/5 |divide both sides by 0.2
Y= 63

Which graph represents the given equation?
y = 3/2x^2 + 4x – 2

Answers

Answer: B

Step-by-step explanation:

y intercept is -2

y = 3/2x^2 + 4x – 2

y = 3/2(0^2) + 4(0) – 2 = -2

and x intercepts are

0 = 3/2x^2 + 4x – 2

about

x =  0.43050087, -3.09716754

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