Yes. Consider the trinomial x2 + 2x + 4. It can be factored as (x+2)(x+2), that is to say, it has two identical factors of (x+2).
If a number cannot be factored it is a prime number.
x2+14x+40 = (x+4)(x+10) when factored
If you mean: x2-25x+100 then it is (x-5)(x-20) when factored
(X + 2)(X + 4) Factored
prime
It can be factored as the SQUARE OF A BINOMIAL
A trinomial is perfect square if it can be factored into the form
(y10 + 2y5z3 + 4z6)
The constant term of the trinomial
It is the constant term of the trinomial.
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A trinomial of the form ax2 + bx + c is a perfect square if (and only if) b2-4ac = 0 and, in that case, it is factored into a*(x + b/2a)2
x2-18x+81 = (x-9)(x-9) when factored
Math books and teachers will make it look like all trinomials can be factored, but many are not.
x2+14x+49 = (x+7)(x+7) when factored
A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.