WILL MARK BRAINLEST
What is factoring? Why is it useful to try to factor out the GCF first when factoring?

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain.

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6 .

What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

Answer:

What is factoring?

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Why is it useful to try to factor out the GCF first when factoring?

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

What are the key features needed to graph a polynomial function?

the key features are the vertex, axis of symmetry, x and y intercept

Explain how to find these key features to sketch a rough graph of a polynomial function

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

Step-by-step explanation:

PLEASE BRAINLIEST

The table shows the points Isabella scored during each basketball game of her regular season.
Find the range
The 1st quartile and the 3rd quartile

Help ASAP, NO LINKS OR YOU WILL BE REPORTED!! WILL GIVE BRAINIEST!

The ratio that compares the measurements of a model and the real object is called what?

who ever gets this right will get a brainlest

please help 14 math problem

Need help number 13 MATH

The ages of two groups of karate students are shown in the following dot plots:

picture shown below:

The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data?

Group A has greater variability in the data.
Group A has less variability in the data.
Group B has a lower range.
Group B has a lower mean

please help 17 MATH PROBLEM

Jessica had 3 times as many postcards as Antonio. After Jessica gave 30 postcards to her friend and Antonio received 15 more postcards from his friend, Antonio had 3/4 as many postcards as Jessica. How many postcards did they have altogether in the beginning?
PLS HELP. WILL GIVE BRAINLIEST. SHOW YOUR WORK TOO, PLS.

I really need help this is due tomorrow

can you please tell me what the answers are for the brainliest

Which of the following is the graph of a function x?

Suppose that there are 20 numbers in a data set and that they are all different. How many of the values in this data set are between the first quartile and the median?

find the volume of the cylinder using the given formula

Under her cell phone plan, Allison pays a flat cost of $64 per month and $3 per gigabyte. She wants to keep her bill under $95 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Allison can use while staying within her budget?
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Answer below!!

The table below shows the number of customers that come eat lunch at a local coffee shop each week.
Based on the information, how many customers should the coffee shop expect to serve during week 12?
A: 50
B: 60
C: 70
D: 80

Can someone help me with this??

HELP PLEASE
Look at the table below. Based on the assets and liabilities, what would this person's net worth be? *

please help me with these
Quincy is having a sale at his store. He is selling a table for $450. If the sales tax is 8.5%, then how much will a customer need to pay in taxes if they buy the table? *
answer choices
$14.50
$22.75
$38.25
$45.50


if you deposit $2500 into a savings account that earns 2% simple interest, how much will be your account in all after 4 years?
answer choices
$200
$250
$2700
$3750

You have saved up enough money to buy some awesome jeans. Store A is offering the jeans for 15% off. Store B is offering the jeans for $10 off. If the jeans cost $45 before the discounts, which store is offering the jeans at a lower cost? *
answer choices
Store A
Store B
They both end up costing the same amount

I think im right again but i would like confirmation. thanks

i need help pls help

PLS HELP!!!! I DON'T GET ANY OF THIS,I WILL GIVE BRAINLEST TO THE FIRST ANSWER

help me please :'-(((((((

What is the surface area of the square pyramid?

Question 5
show the work please

What is the domain of the following relation?

can someone help me please ??

Three cards, one labeled "A," one labeled "T," and one labeled "C," are picked in random order. Based on the tree diagram, which is a valid conclusion. Select all that apply. There are three correct answers

The probability of the letters spelling CAT is 1/6.

The probability that A will be the first letter chosen is 1/15

15 cards must be drawn to determine the probability of spelling CAT

The sample space consists of 6 outcomes.

The probability that T will be the first letter chosen is 1/3.

3)who ever gets this right will get a brainlest

I need help explaining, I know the answer, but I don't know how I got the answer
Find the interest
principal 20,000
rate 12%
Time 3 months