Question

B. Will the third term of the square of a binomial always be​ positive? Explain.

A.
​No, because the third term can be positive or zero if like terms cancel.
B.
​Yes, because the factors are the​ same, either two negatives or two positives are being​ multiplied, resulting in a positive answer.
C.
​No, because the third term can be either positive or negative.

Answer 1

The third term of the square of a binomial can be either positive or negative. The sign of the third term depends on the signs of the terms being multiplied. If the signs are the same, the third term will be positive, and if the signs are different, the third term will be negative. Therefore, the correct answer is C.