Question

Determine the factors of x2 − 10x + 24.

(x + 6)(x + 4)

(x − 3)(x − 8)

(x + 3)(x + 8)

(x − 6)(x − 4)

Answer 1

Do you know how to find the factor of a quadratic expression ?

Answer 2

nope

Answer 3

first try to break 24 in such two halves so that you get 10 as answer

Answer 4

i dont know how

Answer 5

take out prime facto0rize 24 and say what r you getting ?

Answer 6

i still dont know

Answer 7

I have told you MANY times!!
And you EVEN said You Understood me!!! :/

Answer 8

okay but dont get mad

Answer 9

okay but the problem is i dont understand it

Answer 10

what are two numbers that add to 10 but multiply to 24?

Answer 11

12 and -2

Answer 12

that multiplies to -24

Answer 13

yep

Answer 14

we want it to multiply to 24 not -24

Answer 15

two different numbers?

Answer 16

12 and 2

Answer 17

does that add to 10?

Answer 18

try other numbers

Answer 19

idk

Answer 20

two numbers that multiply to get 24
how else can two numbers multiply to get 24 besides 2*12

Answer 21

1 and 24

Answer 22

what else

Answer 23

1*2=24
2*12 = 24
?*? = 24

Answer 24

3 and 8
4 and 6

Answer 25

which one of those add to 10?

Answer 26

cmon I got to go soon

Answer 27

4 an 6

Answer 28

ok, now notice that we have -10 and not 10 as our middle term, but just as 4+6 = 10 and 4*6 = 24, we also have -6+-4 = -10 and -4*-6 = 24
so our numbers are -4,-6

Answer 29

and since we dont have a coefficient on the first term, that is the answer

Answer 30

oh okay thank you

Answer 31

you should be able to list the combinations of factors to get numbers
\[24=1*24=2*12=3*8=4*6=-4*-6=-3*-8=-2*-12=-1*-24=24\]

Answer 32

\[=-1*-24=24\]

Answer 33

oh okay

Answer 34

its d right

Answer 35

correct

Answer 36

you should be able to expand D) and know this for sure, if not...I would really suggest that you go back a few sections/chapter and catch up. Its only going to get harder, and it is 50000000 times harder if you dont understand the material that came before, as we are baring witness too.