Question

Which of the following are properties of a perfect square trinomial?

PLEASE HElP

A) The first and third terms must be perfect squares
B) neither of the perfect squares can have a minus sign
C)If the square terms are A2 and B2 then the other term must be 2ab.
D) None of the above is a properties of a perfect square trinomial

Answer 1

The property that defines a perfect square trinomial is that the second term is 2 times the product between the squares of each square term.

Explanation:

1. Option A is true, but is not a property, is a condition of the definition of a perfect square trinomial
2. Option B is true, but is neither a property, is also a condition of the definition of a perfect square trinomial.
3. Option C is true, and is a property of the trinomial, because this property, is the one which allows to apply the defined simplification for a perfect square trinomial: [tex]a^2±2ab+b^2=(a±b)^2[tex/]