Question

What are the factors of x^2 - 49?

(x - 1)(x + 49)

(x - 7)(x - 7)

(x - 7)(x + 7)

Prime


This one is C right?

Answer 1

Alright so this is a difference of squares. So basically what is the square root of 49?

Answer 2

Difference of squares will always go like this \[a ^{2}-b ^{2} = (a-b)(a+b)\]

Answer 3

Since you know this is a difference of squares (both the x^2 and the 49 are perfect squares, the x^2 is a perfect square of x, and 49 is a perfect square of 7)

This means it is (x-7)(x+7)

Answer 4

For example if you had x^2-36, this is really quickly (x-6)(x+6)

Answer 5

Or x^2-16

(x-4)(x+4)

Answer 6

Thanks. Sorry i walked away from my computer for a minute

Answer 7

So any time you have a problem where it is x^2-(A Perfect Square), it goes like this

Your perfect squares are 1^2, 2^2, 3^2, 4^2, 5^2, 6^2 etc

So 1^1 = 1
2^2 = 4
3^2 = 9
4^2 = 16
etc..

So when you have x^2 - 1 - > (x-1)(x+1)
x^2 - 4 -> (x-2)(x+2)
x^2 - 9 -> (x-3)(x+3)
x^2 - 16 -> What is this one?

Answer 8

Select the factors of x^2 - 14x + 49.

(x + 49)(x + 1)

(x + 7)(x + 7)

(x - 7)(x - 7)

(x - 49)(x - 1)

Isnt this one C?

Answer 9

Read what I wrote

Answer 10

This one is a perfect square trinomial. Not a difference of squares.

See how its a minus in the middle and a + at the end? This means we will have 2 (-)'s.

So the square here is 7. And since we need two (-)'s it is (x-7)(x-7) =0)

Answer 11

It would be (x-4)(x+4) right? For the one you just asked me?

Answer 12

The answer to my question above, that's exactly right!

Answer 13

So what is x^2-81?

Answer 14

Quick!

Answer 15

What is 81 the square of?

Answer 16

(x-9)(x+9)

Answer 17

You freakin' got it.

Answer 18

Nice

Answer 19

Brb, coffee and bathoom lol

Answer 20

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2

Which of the following functions best represents the graph?

f(x) = x^3 + x^2 - 4x - 4

f(x) = x^3 + x^2 - x - 1

f(x) = x^3 + 3x^2 - 4x - 12

f(x) = x^3 + 2x^2 - 6x - 12

Answer 21

Okay no problem. Lol

Answer 22

To find this one:
\((x-@)(x-@)(x-@)\)
Where @ are your x intercepts, which in this case are -3,-2, and 2
(x+3)(x+2)(x-2)
Multiply all these to get your answer

Answer 23

so x^2-12?

Answer 24

First you can multiply the first 2 using foil: