Which are perfect square trinomials? select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36

 and are perfect square trinomials.

Step-by-step explanation:

Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.

To verify if a trinomial algebraic expresion defined by the formula

is a perfect square trinomial, create the following binomial

Then, if , T is a perfect square trinomial.

So

a) is not a trinomianl, so it cannot be a perfect square trinomial.

b) is not a trinomianl, so it cannot be a perfect square trinomial.

c) , so:

is a perfect square trinomial

d) , so:

is a perfect square trinomial

e) , so:

is not a perfect square trinomial

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0