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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
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What can a perfect square trinomial can be factored as?
It can be factored as the SQUARE OF A BINOMIAL
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
When a trinomial is factored as x plus a x plus b what is the sum of a and b?
The constant term of the trinomial
When a trinomial is factored as (x m)(x n) what is the product of m and n?
It is the constant term of the trinomial.
Can the trinomial 3p2-25p plus 16 be factored or is it prime?
prime
What can a perfect square trinomial can be factored as?
It can be factored as the SQUARE OF A BINOMIAL
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
How do you factor the trinomial completely 22y2-31y plus 9?
22y2-31y+9 = (22y-9)(y-1) when factored
The binomial y15-8z9 can be factored into a binomial and a trinomial what is the trinomial factor?
(y10 + 2y5z3 + 4z6)
When a trinomial is factored as x plus a x plus b what is the sum of a and b?
The constant term of the trinomial
When a trinomial is factored as (x m)(x n) what is the product of m and n?
It is the constant term of the trinomial.
What is a perfect square trinomial and how is it factored?
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
How do you factor the trinomial completely 30x2-23x-14?
30x2-23x-14 = (6x-7)(5x+2) when factored with the help of the quadratic equation formula
Can a trinomial be factored or is it a prime?
[ x3 + 3x2 + 2x ] is a trinomial. It's factors are [ x, (x + 1), (x + 2) ] .
Can the trinomial 3p2-25p plus 16 be factored or is it prime?
prime
Is this trinomial a trinomial square x2-18x plus 81?
x2-18x+81 = (x-9)(x-9) when factored
Is it possible to have a trinomial that cannot be factored. Explain?
Math books and teachers will make it look like all trinomials can be factored, but many are not.
