A trinomial will be completely factorised when it has three terms involving the unknown to the power of 1.
eg x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)
eg x³ - 3x² + 2x = x(x - 1)(x - 2)
eg x³ - x² = x²(x - 1) = x(x - 1)x
It can be factored as the SQUARE OF A BINOMIAL
A trinomial is perfect square if it can be factored into the form
The constant term of the trinomial
It is the constant term of the trinomial.
prime
It can be factored as the SQUARE OF A BINOMIAL
A trinomial is perfect square if it can be factored into the form
22y2-31y+9 = (22y-9)(y-1) when factored
(y10 + 2y5z3 + 4z6)
The constant term of the trinomial
It is the constant term of the trinomial.
30x2-23x-14 = (6x-7)(5x+2) when factored with the help of the quadratic equation formula
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
[ x3 + 3x2 + 2x ] is a trinomial. It's factors are [ x, (x + 1), (x + 2) ] .
prime
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.