Question

What is the expression in factored form?

2x^2 + 16x + 24

Answer 1

@Directrix If this is a simple problem, then imma feel dumb lol

Answer 2

First, factor the common factor 2 out of each term.

2x^2 + 16x + 24 = 2 ( ? +? + ?)

Answer 3

Let's do this term by term.

2 times what = 2* x^2

Answer 4

Umm x?

Answer 5

Correct.

Next,

2 times what = 8x

Answer 6

4x? Or just 4?

Answer 7

Whoops.

I meant to ask this:

2 times what = 16x

Answer 8

Because I messed that up, I'll answer it.

2 times what = 16x

8x

Answer 9

Your turn:

2 times what = 24

Answer 10

12

Answer 11

Correct.

Putting those into symbols:

2x^2 + 16x + 24 =

2* ( x^2 + 8x + 12)

But, there is more factoring to do because:

x^2 + 8x + 12 will factor

Answer 12

Can you think of two numbers that multiply to 12 AND add to 8 ?

Answer 13

Umm would it be 6 and 2?

Answer 14

Correct.

x^2 + 8x + 12 will factor

x^2 + 6x + 2x + 12

Does that type expansion look familiar for factoring?

Answer 15

Yess? haha

Answer 16

x^2 + 6x + 2x + 12 =

x ( x + 6 ) + 2 ( x + 6) = ? (x+6) is the common factor here.

See if you can finish up and don't forget to put the 2 out in front of these two factors.

Let me know if you can get a wrap, okay?

Answer 17

@Valirium Question on finishing up?

Answer 18

So the answer is 2(x+6)(x+2)?

Answer 19

Correct