Question

4. Each expression is given in standard form. Rewrite it in factored form. If it cannot be

rewritten in factored form, write "cannot be done."
a.x² - 900

Answer 1

The expression x² - 900 is factored as (x - 30)(x + 30), which uses the difference of squares pattern. This shows that the standard form quadratic can be rewritten in factored form when it's a difference of perfect squares.

Step-by-step explanation:

The expression x² - 900 is a quadratic equation in standard form and can be rewritten in factored form. This expression is a difference of squares because 900 is a perfect square (30²).

To factor it, we take the square root of x², which is x, and the square root of 900, which is 30, and write the expression as:

(x - 30)(x + 30)

This means that the factored form of the equation x² - 900 is (x - 30)(x + 30).

To determine if a quadratic equation could be factored, one strategy is to look for patterns such as the difference of squares, as we did here.