Factoring Trinomials (a>1)

Front

What is the definition of a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form of ax^2 + bx + c.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

Back

(x + 2)(x + 3)

Front

What is the first step in factoring a trinomial when a > 1?

Back

Identify the coefficients a, b, and c in the trinomial ax^2 + bx + c.

Front

Back

(2x + 1)(x + 3)

Front

What is the method used to factor trinomials when a > 1?

Back

The method involves finding two numbers that multiply to ac and add to b.

Front

Back

(3x + 2)(x + 3)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into the product of two non-constant polynomials.

Front

Back

(2x + 3)(2x + 3) or (2x + 3)^2

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) affects the shape and direction of the parabola represented by the trinomial.