Question

Which polynomial is a perfect square trinomial?​

Answer 1

Answer:

A) 9x^2-12x+4

Step-by-step explanation:

to find out whether an equation is a perfect square when we take the square root of "a" and the square root of "c" and double their sum. The result should be the middle term, -12

so

square root of 9; 3

square root of 4: 2

2((3*-2))=-12

now we can take the square root of 9x^2(which is 3x) and the square root of 4(-2) and put it in a expression like this

(3x-2)^2

hope this helps!

Answer 2

Answer:

A. 9x^2 - 12x + 4

Step-by-step explanation:

A perfect square trinomial is defined as a trinomial that be derived from squaring binomials.

Through factoring, I am able to gather that 9x^2 - 12x + 4 might be expressed as (3x - 2)(3x - 2)

We can check this using the FOIL method (First Outside Inside Last).

3x times 3x = 9x^2, 3x times -2 = -6x, -2 times 3x = -6x, and -2 x -2 = 4.

This gives us the result of 9x^2 - 12x + 4, making it the correct answer.

(I tried the other three and was not able to get the same result).