[ x3 + 3x2 + 2x ] is a trinomial.
It's factors are [ x, (x + 1), (x + 2) ] .
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
(X + 2)(X + 4) Factored
When factored it is: (x-9)(x+4)
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.
293
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
The expression (7x^2 + 2x + 1) is not a prime trinomial because it can be factored. To determine if it's prime, we can check for factors of the form ((ax + b)(cx + d)). In this case, it does not factor neatly into integers, but it can be analyzed further. In conclusion, while it may not have simple integer factors, it is not prime in the algebraic sense as it cannot be simplified into a product of polynomials.
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