Question

Select one of the factors of x2 + 11x + 24

I answered (x + 3) would this be correct?

Answer 1

when x=-3 does the expression equal 0?

Answer 2

(x+3)(x+8)

Answer 3

As in (x + 3)(x + 8)

Answer 4

Ami, that's how I could check it?

Answer 5

yep

Answer 6

Sweet! Didn't realize that.

Answer 7

if (x+a) is a factor; then when x=-a your expression equals zero

Answer 8

Wait, so if a is already a negative, what would I do?

Answer 9

(x + (-a))?

Answer 10

x+(-a) ; then x=-(-a) = a

Answer 11

Alright, thanks a bunch!

Answer 12

whatever x value that makes your factor go zero :)

Answer 13

x+3 = 0 when x=-3

x-9 = 0 when x=9

Answer 14

In my case, I would replace the variable "x" with -3?

-3^2 + 11(-3) + 24?

Answer 15

yes

(-3)^2 +11(-3) + 24 ?= 0

9 -33 +24 ?= 0

-24 + 24 = 0

Answer 16

-3^2 = 9
9 - 33 + 24
-33 + 33 = 0

Answer 17

Yes! :D

Answer 18

any x value that makes it go zero will be a root; and hence you can construct a factor from it

Answer 19

Thank you! Factoring is making a lot more sense now.

Answer 20

:) good luck