Question

The area of a square is (9x2 - 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work

Answer 1

in order to get a \(9x^2\) you have to have
(____+b)(_____+a)

Answer 2

the blanks are the same

Answer 3

The same as what?

Answer 4

the same value

Answer 5

I still don't understand

Answer 6

would we do the same exact thing that we did in the previous equation?

Answer 7

https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/ex2-completing-the-square

Answer 8

yea sort of that example is similar

Answer 9

you first want to break the 9x^2 into two parts

Answer 10

because whatever \(\sqrt{9x^2}\) is, that will fill in the blanks

Answer 11

this might be more like the third problem

Answer 12

Could we split it in 3x and 3x?

Answer 13

yup

Answer 14

so now you need the a and b

Answer 15

so, (3x + b)(3x + a)

Answer 16

yea exactly

Answer 17

so now, you know that ab=4 and that 3a+3b=-12

Answer 18

so you want to solve the system of eq for the answer

Answer 19

hint, you only have one option really

Answer 20

-2

Answer 21

and ?

Answer 22

so our final answer is?

Answer 23

3(-2) + 3(-2) = -12
a = -2
b = -2

Answer 24

good, so now what is the factored poly?

Answer 25

I don't know what you are asking for?

Answer 26

what two things do you multiply together to get that original polynomial(poly for short)?

Answer 27

(3x - 2)^2

Answer 28

yup

Answer 29

Thank you! and sorry about the late replies, my connection keeps getting lost.

Answer 30

it's cool, np