Question

If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below? (x + 2) ´ ______ = x2 – 4

Answer 1

The question is simply rearranging the question to solve for the term with the degree of 2. 

The question states,

$(x^2 - 4) \div (x+2) = (x-2)$

You can multiply each side by (x + 2) to get rid of the division sign:

$(x^2 - 4) = (x+2) \times \boxed{(x-2)}$

The polynomial that will fill in the blank is (x - 2).