Question

What is the factored form of the polynomial?

x^2 − 12x + 27?

Options:
A. (x + 4)(x + 3)
B. (x − 4)(x + 3)
C. (x + 9)(x + 3)
D. (x − 9)(x − 3)

Answer 1

Hey!

Do you know how to find the factors of a number?

Answer 2

yeah you can use a factor tree

Answer 3

or just multiply in your head

Answer 4

Yes

For this you want to find all the factors of 27 (the constant)

Answer 5

ok there is 9 and 3

Answer 6

like 9x3

Answer 7

would it be C?

Answer 8

ultrilliam you can answer too

Answer 9

Right, now to find which signs should go for which look at the signs of the second and third terms

\(x^2 \color{red}{−} 12x \color{red}{+} 27\)

The second term tells you what sign they should have (Negative)
The third sign tells you if the signs are different or the same (Same)

In this case you want same signs but negative

Answer 10

so it would be d or c?

Answer 11

Only D has the same signs and is also negative^^

Answer 12

should i help dude or u got her covered

Answer 13

nvm

Answer 14

so c?

Answer 15

dude can you help with my problem

Answer 16

ill help her

Answer 17

nonono you can stay

Answer 18

thanks

Answer 19

No no its not C

You want them to have 2 negative signs in each term

Answer 20

you literally couldve said that all i wanted was a starightforward answer

Answer 21

so you want 2 numbers that multiply to ac and add up to b where a is 1, b is -12 and 27 is c

Answer 22

mhm

Answer 23

continue

Answer 24

so what 2 numbers multiply to 27 (because 1 x 27 = 27) and add up to -12

Answer 25

9x3=27 and -9+-3=-12

Answer 26

well, -9 x -3 = 27, and -9 + -3 =-12

Answer 27

you want the same numbers

Answer 28

so yes, the numbers are -9 and -3

Answer 29

@Ultrilliam please help me

Answer 30

hehehe im so smart : )

Answer 31

lol

Answer 32

are you still stuck on that one

Answer 33

yes

Answer 34

oof sorry