Determine whether 4x2 + 6x + 9 is a perfect square. if so, factor it. if not, explain why. a. no, 4x2 + 6x + 9 is not a perfect square. 4x2 and 9 are perfect squares, but 6x is not equal to 2(2x)(3). so 4x2 + 6x + 9 is not a perfect square. b. yes, 4x2 + 6x + 9 is a perfect square. (2x + 3)2 c. yes, 4x2 + 6x + 9 is a perfect square. (2x − 3)2 d. no, 4x2 + 6x + 9 is not a perfect square. 4x2 and 9 are perfect squares, but 6x is not a perfect square. so 4x2 + 6x + 9 is not a perfect square.

9514 1404 393

  A.  No, 4x² + 6x + 9 is not a perfect square. 4x² and 9 are perfect squares, but 6x is not equal to 2(2x)(3).

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

Here the first and last terms are perfect squares, so we might assume that ...

  a = 2x, b = 3

This would require the middle term to be 2ab = (2)(2x)(3) = 12x, which it is not. So, the given trinomial is not a perfect square.

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.

no

step-by-step explanation: