It's not enough to copy the question off the test. If you don't tell us what the trinomial is, we can't factor it for you.
In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
If you mean: 2x2+7x+5 then it is (2x+5)(x+1) when factored
Factor it once, and then factor the factors.
just like factoring any other trinomial.
it depends on the power of the leading coefficient, and that is not always a great indication because polynomials can have non real numbers. A factor of a polynomial is where the function crosses the x axis. If the trinomial will not factor into real numbers, then there are not any real zeros but there are still factors. Think of this one x^2+6x+14. this will not factor into real numbers, but complex solutions. But these complex solutions are factors, so the rule still holds. If the trinomial is a cubic, or at a odd power, then its a odd function, and can have one real solution. If the trinomial is squared, or any even power, its a even function and can have two real solutions. With the graph you can determine it this way: if p(x) is a polynomial function of degree n, then the graph has at most n-1 turning points. If the graph of a function P has n-1 turning points, then the degree of p(x) is at least n.
(x+8)(x-5)
(x + 2)(x - 9)
(x + 8)(x - 5)
(5x - 1)(x + 6)
-70
(x - 3)(x + 6)
-((x + 2)(x - 9))
(X+9)(x-2)
(x + 2)(x - 7)
(5x + 2)(x + 1)
(x + 2)(x - 8)
(4x + 5)(x - 3)