Question

which of the following are properties of a perfect square trinomial? select all that apply. a. the first and third terms must be perfect squares. b. neither of the perfect squares can have a minus sign. c. if the perfect square terms are a² and b² then the other term must be (ab)². d. none of the above is a property of a perfect square trinomial.

Explanation:

A perfect - square trinomial is of the form $(a\pm b)^2=a^{2}\pm2ab + b^{2}$. The first and third terms ($a^{2}$ and $b^{2}$) are perfect squares and they are non - negative. The middle term is $\pm2ab$, not $(ab)^2$.

Answer:

A. The first and third terms must be perfect squares.
B. Neither of the perfect squares can have a minus sign.