Question

What is the factored form of x^2 - 49?

Answer 1

X+7, square root the 49 and x^2 making it x+7, then for a check write your equation 0= x+7, x =-7

Answer 2

(x + 7)(x - 7)

Explanation:

The factored form of a quadratic expression is a form where the expression is expressed as a product of two linear expressions.

In other words, the factored form of a quadratic expression is of the form:

(x + a)(x + b)

where a and b are constants.

In this case:

The factored form of the quadratic expression x² - 49 can be found using the difference of squares pattern:

a² - b² = (a + b)(a - b)

So,

we have

a = x and b = 7, so we can use the difference of squares pattern to get the following factored form:

x² - 49 = x² - 7² = (x + 7)(x - 7)

Therefore, the factored form of x² - 49 is (x + 7)(x - 7).