Question

Factor the polynomial.
x^2 - 6x + 9
A) (x - 9)(x - 1)
B) (x - 3)(x + 3)
C) (x + 9)(x + 1)
D) (x - 3)(x - 3)

Answer 1

i think its B but.....

Answer 2

Why do you think it's B? If you take the two factors listed in B, and multiply them together, what do y ou get?

Answer 3

i get positive 9

Answer 4

and there's a positive 9 in the equation so i thought it was right

Answer 5

You've multiplied 3*3. No. Instead, multiply the possible factors together:

(x - 3)(x + 3) = ?

Answer 6

well the possible factors for 3 in addition is 2,1

Answer 7

but if i multiply 2 and 1 i'll 2

Answer 8

Heart: I need for you to multiply. You're factoring. No. Please multiply:

(x+3)(x-3)=?

Answer 9

(x^2+9)?

Answer 10

Use the "FOIL" method. (x+3)(x-3). x*x=? 3*x+? x*3=? (-3)(3)=?

Answer 11

x*x=x^2 3*x=3x x*3=x3 (-3)(3)=-9

Answer 12

You are multiplying two binomials together:

(x-3)(x+3)=x*x-3x+3x-9.
Please simplify this.

Answer 13

OpenStudy says you're focusing on some other problem. I'm sorry our conversation has gone on and on, but I believe all of it has been important and necessary.
Do you want to finish this problem, or drop it and go to the other one?

Answer 14

i honestly dont know how to solve this problem and i have other problems posted but im not occupied by them now. i want to finish this problem

Answer 15

You originally chose B as your answer, so I have been leading you through the multiplication of (x+3)(x-3) so that you can determine whether B is actually correct or not. It is not. Why? because the product is x^3 - 9, which is not the same as x^2 -6x + 9.

Answer 16

So you must eliminate choice B.
Which other choice might you pick? How would you check whether or not the factors given in that choice multiply out to x^2 - 6x + 9?

Answer 17

Hint: Multiply: (x-3)(x-3)

Answer 18

Perhaps you should take a break and then return to solving this problem. I need to take one myself. Being able to multiply binomials, such as to multiply (x-3)(x-3), is a very important skill that you will need in many applications of algebra.

Answer 19

sure

Answer 20

OHHHH i think i get now......x^2-3x+9....is that the answer

Answer 21

so are we going to finish the problem

Answer 22

The answer is D (See picture for explanation)

Answer 23

x^2-6x+9
(x )(x )
(x - )(x - ) Both negative because 9 is positive and -6 is negative, and there 2 numbers should add up to -6, and when multiplied, should be 9.
(x - 3)(x - 3)
FOIL to check
First times first: x*x
x^2
Outsides multiplied: x*-3
x^2-3x
Insides multiplied: -3*x
x^2-3x-3x
Last times last: -3*-3
x^2-3x-3x+9
Now, add like terms:
\[x ^{2}-6x+9\]

Answer 24

thanks that makes sense