factor each polunomial completely. May I get some help please?

x2(squared)-4

1X2-4=1x2+(-4)=
-3x?
I'm not sure I know how to factor
`')brie~

To indicate x squared, use x^2. You need to get the numerical product of 4 without getting a middle x term. This means that the numerical terms must multiply to give you 4 but be equal and have opposite signs (one positive and one negative), so the two x terms cancel each other out.

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

Check it by multiplying.

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

I hope this helps you to understand the process. Thanks for asking.

To factor the polynomial x^2 - 4, you need to find two binomials that, when multiplied together, equal x^2 - 4.

To accomplish this, you can remember the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b). In this case, a is x and b is 2.

So, you can write x^2 - 4 as (x - 2)(x + 2).

To check if this is correct, you can multiply the two binomials together using the distributive property.

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

And as you can see, the multiplication results match the original polynomial.

I hope this explanation helps. Let me know if you have any more questions!