Question

Can someone help me with this problem?

Factor completely: 9x^2+42x+49

Answer 1

*bangs head on wall* I hate math.

Answer 2

First of all, you should notice that 49 doesn't have a lot of factors.
So this is
(__ x + 7) (__ x + 7)
It's not minus because 42 > 0.
OK with that?

Answer 3

Is the answer 3? =/

Answer 4

Resist the urge to guess blindly. Let's see
Now I notice that 9 can be factored into 3 x 3 and that 3 x 7 is one-half of 42

Answer 5

Ok.. =/

Answer 6

So now my guess is
(3x + 7)^2
How does that sound?

Answer 7

Good, but i still don't know how to solve it...

Answer 8

The problem statement is to factor. That means to produce the factors which we have:
(3x + 9)(3x + 9)
Another possibility would be to find the "roots", where the equation has value 0.

Answer 9

What do i do after?

Answer 10

You have the factors, that's what they asked for. You're done.
If you want the roots, notice that x = -3 solves
(3x + 9)(3x + 9) = 0
You could graph the equation.

Answer 11

Sorry, I messed up
(3x + 7)(3x +7)
so root is x = -7/3
which I only noticed when I graphed it!

Answer 12

My answers are:


(3x + 7)(3x − 7)

(9x − 7)(9x − 7)

(3x + 7)(3x + 7)

(9x + 7)(9x + 7)
The question is multiple choice.

Answer 13

See my last..

Answer 14

BTW a quicker approach is to work from the answers
the ones with 9x produce 81x^2 which can't be right
the ones with -7 produce b < 0
where ax^2 + bx + c is your equation.
No need to do the work of factoring in this case.

Answer 15

the one with both -7 I mean

Answer 16

I don't know how to read the graph that you put up.. =/

Answer 17

It's standard orientation, x-axis horizontal and y-axis vertical.
It's a parabola as we expect with x^2. OK with that? What confuses you?

Answer 18

I see it seems to go through (-2,1). Is that a solution for
9x^2+42x+49
36 - 84 + 49 = 1 Check.

Answer 19

No

Answer 20

There isn't an answer for that

Answer 21

We factored to get (3x + 7) (3x + 7)
Isn't that one of your possible answers?

Answer 22

Yes =D

Answer 23

Well, alrighty then.

Answer 24

-_- I just got an 8.5 out of 10..

Answer 25

Huh? That's a score based on this one problem?

Answer 26

No.. My score overall..

Answer 27

Well, it's not so bad..