Question

Consider 6x2 + 6x + 1. Which term immediately tells you that this expression is NOT a perfect square trinomial? Justify your answer.

A) 1; One has factors of 1 and -1.
B) 6x2; Six is not a perfect square.
C) 6x; Six is not a perfect square.
D) 6x2; Six is a composite number.

Answer 1

Option B

Explanation:

Given is a quadratic expression as

`6x^2 + 6x + 1`

This is not a perfect square because the last term 1 is a perfect square.

So if the whole term is to be a perfect square since last term is a perfect square the leading term also has to be a perfect square.

But 6x square though x square is a square 6 is not a perfect square

So this cannot be a perfect square

Answer is

Option B.

Answer 2

We are given an expression 6x² + 6x +1 = 0 and we are asked what it the reason why the expression is not considered a perfect square. The answer is the letter "B" which is 6x² +6x +1. The number 6 is not a composite number.