Question

What is the factored form of the equation

Answer 1

x2- 25

Answer 2

If x^2 - 25 then
(x + 5) (x - 5) they are like conjugate's x term drops out

Answer 3

When asked to find the factored form of an equation with only x^2 and x^0 terms, this is called the difference of squares. This can be factored out rather easily by using the form:
y=ax^2+c
Finding the square root of c gives you the second term of each factored binomial, but only if the coefficient of ax^2 is equal to 1. So we have currently:
(? ? 5) (? ? 5)
Now since the a term is squared, we can assume that the two first terms of the binomials will each be x, once again this can only be done if the a term of ax^2 is equal to 1, I cannot stress this enough. Now we have:
(x ? 5)(x ? 5)
Now for the signs between the numbers and variables.
For every single difference of squares, one will be positive, and one will be negative. Simple as that.
It should come out to (x+5)(x-5)

Now you can check by making sure, when using the FOIL method (First, outside, inside, last) That the outside and inside terms cancel each other, leaving you with no bx term.

Answer 4

thanks!!