Determine whether each trinomial is a perfect square or not.. 1.A2+2a+1 2.4+4a+a2 3.A2-3a+9 4.4a2+24a+36 5.A4-10a+25 6.25a2+20a+9 7.A2b2-14ab+49 8.A2-2a-1 9.16a2+24a+36 10.10+6a+a2

1) Perfect square, 2) Perfect square, 3) Not a perfect square, 4) Perfect square, 5) Perfect square, 6) Not a perfect square, 7) Perfect square, 8) Not a perfect square, 9) Not a perfect square, 10) Not a perfect square.

Step-by-step explanation:

From Algebra we must remember that a trinomial is a perfect square if and only if:

, (Eq. 1)

Now we proceed to prove each trinomial:

1) :

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is a perfect square.

2)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is a perfect square.

3)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is not a perfect square.

4)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is a perfect square.

5)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is a perfect square.

6)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is not a perfect square.

7)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is a perfect square.

8)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is not a perfect square.

9)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is not a perfect square.

10)

If and , then and . Therefore, . In a nutshell, we conclude that this polynomial is not a perfect square.