Factoring Trinomials

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a trinomial?

Back

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

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in a polynomial.

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials and stands for First, Outside, Inside, Last.

Front

How do you factor the trinomial x² + 7x - 30?

Back

The factors are (x + 10)(x - 3).

Front

What do the signs of the factors indicate when c is negative in ax² + bx + c?

Back

If c is negative, the signs of the factors are one positive and one negative.

Front

What is the first step in factoring polynomials?

Back

The first step is to find the GCF of the polynomial.

Front

What are the factors of the equation x² + 2x - 3 = 0?

Back

The factors are (x - 1)(x + 3).

Front

What is the solution to the equation x² + 2x - 3 = 0?

Back

The solutions are x = 1 and x = -3.

Front

What does it mean to 'factor completely'?

Back

To factor completely means to break down a polynomial into its simplest factors, including all GCFs and irreducible factors.