Question

Need help to better understand factoring and ect

Answer 1

@Shadow i need you

Answer 2

first up is GCF (greatest common factor)

Answer 3

I would be glad to help

Answer 4

ok so i have a dba in 30 mins and i need help solving questions so can u give me a equation u know the answer to and i can try to solve it and u tell me im right and then explain were i went wrong or something like that

Answer 5

GCF (Greatest Common Factor) is essentially the largest number that can go into two numbers.

60 and 12

2 and 3 can go into both numbers. (60/2 = 30, 60/3 = 20, goes in 30, 20 times. Same for 12, 12/2 = 6, 12/3 = 4).

But they aren't the greatest (or largest) number that can go into both numbers. Something to keep in mind, that the GCF can be itself. So in this case, the GCF would be 12.

60/12 = 5

12/12 = 1

Answer 6

Are you basically just looking for the GCF of numbers?

Answer 7

theres a variety of things i want a better understanding for im looking for a easy way to find the gcf or something like that another one im stuck on is factoring them

Answer 8

So factoring would be breaking down the numbers like

Answer 9

You have difficulty with that/

Answer 10

yes cause i get easily confused so 60 would be 5 and 12 then 3 4 then 2 2

Answer 11

Yeah you're basically just breaking it down into smaller parts.

Answer 12

GCF is like the largest part that fits both numbers.

Answer 13

so the gcf of 60 would be either 12 or 5

Answer 14

since 12 is larger than 5 i say 12

Answer 15

GCF is only when you're relating two or more numbers. Not one.

Answer 16

So you would be looking for the GCF of 60 and 12.

Not looking for the GCF of just 60.

Answer 17

Examples:

GCF of 24 and 18

24
--
1 x 24
2 x 12
3 x 8
4 x 6

18
--
1 x 18
2 x 9
3 x 6

What do you think the GCF is?

Answer 18

What is the greatest part, that can go into both 24 and 18

Answer 19

3?

Answer 20

srry 6

Answer 21

Correct

Answer 22

All you need to do is break down the number, than look for the largest one that goes into both. Very simple.

Answer 23

Locating the GCF is the easy part once you have written out all of the factors. Are you confident in your ability to determine all the factors?

Answer 24

ok so thats finding the GCF how do u find the polynomial

Answer 25

\[x^2 + 2x + 1\]
\[(x + 1)(x + 1)\]

You are referring to this?

Answer 26

i got 10 mins so lets work this as fast as possible

Answer 27

yes

Answer 28

So this is FOILing

First
Outer
Inner
Last

Do you know what that is?

Answer 29

sorta yes

Answer 30

Multiply: the first terms, the outer terms, the inner terms, then the last terms

So for my above example of (x + 1)(x + 1) you would do:

x times x
x times 1
1 times x
1 times 1

Answer 31

You get x^2 + x + x + 1
x^2 + 2x + 1

Answer 32

ok

Answer 33

\[x^2 + x + x + 1\]
\[x^2 + 2x + 1\]

Answer 34

Do you have to factor numbers out of polynomials?

Answer 35

yes my dba is now so can u work that out please

Answer 36

It's pretty simple:

Example:

\[2x^2 + x \rightarrow x(2x + 1)\]

Answer 37

\[x^4 + x^2 \rightarrow x^2(x^2 + 1)\]

Answer 38

ok so x would be 1

Answer 39

It's like grabbing the GCF of the terms, then using the distributive property to take it out.

Answer 40

\[(60 + 12) \rightarrow 12(5 + 1)\]

Answer 41

If you're asked to factor a polynomial, either you'll need to FOIL it down, or grab terms out.

Answer 42

ok

Answer 43

a zero of a polynomial function

Answer 44

@Shadow ^

Answer 45

ye

Answer 46

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Shadow
\[x^2 + x + x + 1\]
\[x^2 + 2x + 1\]
\(\color{#0cbb34}{\text{End of Quote}}\)

\[(x + 1)(x + 1)\]

\[x + 1 = 0\]
\[x = -1\]

-1 is a zero of the polynomial function