Question

Can anyone help me with factoring? I just have some questions about the possess in general.

Answer 1

Sure.

And welcome to OpenStudy!

Answer 2

There are a bunch of different ways to factor, how do I know which one to use?

Answer 3

Is there one way that will always work?

Answer 4

Can you give me an example?

Answer 5

It works with grouping.

Answer 6

sure just one min

Answer 7

k²+5k+6+ (k+2) (k+___) How would you complete this? (its this first thing on faction i found in my text book)

Answer 8

Notice that \(6 = 3\times 2\) and \(5 = 3+2\)

Answer 9

*factoring

Answer 10

im so sorry i wrote that wrong k²+5k+6= (k+2) (k+___)

Answer 11

Do you know the basic trick?

Answer 12

no

Answer 13

wait is the trick finding the GCF and braking it down?

Answer 14

Let's start with an example.\[x^2 \color{green}{+ 10}x \color{#C00}{+ 25}\]You have to find two numbers that have their sum as the green number and the product as the red one. Here, they are \(5\) and \(5\). You can now break down the \(+10x\) into \(+5x\) and \(+5x\).\[x^2 + 5x + 5x + 25\]Now factor the first two and last two terms.\[x(x + 5) + 5(x + 5)\]Finally\[(x + 5)(x + 5)\]

Answer 15

ok i think i get it

Answer 16

Great!

Answer 17

Thank you so much

Answer 18

No probs!