Factoring Trinomials (a=1)

Front

What is the Diamond Method in factoring trinomials?

Back

The Diamond Method is a technique used to factor trinomials of the form x² + bx + c by finding two numbers that multiply to c and add to b.

Front

Factor the trinomial using the Diamond Method: x² - 14x + 40

Back

(x - 10)(x - 4)

Front

What does FOIL stand for in expanding binomials?

Back

FOIL stands for First, Outside, Inside, Last, which are the terms multiplied together when expanding two binomials.

Front

Expand using FOIL: (x - 3)(x + 7)

Back

x² + 4x - 21

Front

Factor the trinomial using the Diamond Method: x² - 2x - 24

Back

(x + 4)(x - 6)

Front

What is the Box Method in expanding polynomials?

Back

The Box Method is a visual way to organize the multiplication of polynomials by creating a grid (or box) to multiply each term.

Front

Expand using the Box Method: (2x + 5)(x + 3)

Back

2x² + 11x + 15

Front

Expand using FOIL: (x + 11)(x - 2)

Back

x² + 9x - 22

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c in the trinomial ax² + bx + c.