5x + 9y-3 is a trinomial term true of false
To determine if (25x^2 + 30xy - 9y^2) is a perfect square trinomial, we check if it can be expressed in the form ((ax + by)^2). The first term, (25x^2), is ((5x)^2) and the last term, (-9y^2), is ((-3y)^2). However, the middle term should equal (2ab), which in this case would be (2(5x)(-3y) = -30xy). Since the middle term matches, (25x^2 + 30xy - 9y^2) is indeed a perfect square trinomial, specifically ((5x - 3y)^2).
The expression (x^2 - 5x + 25) is not a trinomial square. A trinomial square takes the form ((a - b)^2 = a^2 - 2ab + b^2), which would include a linear term with a coefficient that is double the product of (a) and (b). In this case, the constant term (25) is not the square of half the coefficient of (x) (which would be ((-\frac{5}{2})^2 = \frac{25}{4})). Thus, this expression does not fit the criteria for a trinomial square.
No.
A trinomial is a polynomial with three unlike terms. Ex3n + 7x + 8y6xy is a trinomial?false . . . .A+
An example of a trinomial problem is factoring the expression (x^2 + 5x + 6). To solve it, we look for two numbers that multiply to 6 (the constant term) and add to 5 (the coefficient of the middle term). The numbers 2 and 3 satisfy these conditions, allowing us to factor the trinomial as ((x + 2)(x + 3)). Thus, the problem illustrates how to break down a quadratic trinomial into its linear factors.
When factored it is: (x-9)(x+4)
5x2+ 7x + 2 = (x + 1)(5x + 2).
. x + 4
x2-5x+4 = (x-1)(x-4) when factored
6x2-5x-25 = (3x+5)(2x-5) when factored
x2+5x+6 = (x+2)(x+3)
x2-5x-36 = (x-9(x+4) when factored