Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a trinomial?

Back

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

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

What is the difference of squares?

Back

The difference of squares is a special case of factoring, expressed as a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: x^2 - 9

Back

(x - 3)(x + 3) - This is a difference of squares.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

How do you find the GCF of two terms?

Back

Identify the common factors of the terms and choose the largest one.

Front

Factor the expression: 2x^2 + 8x

Back

2x(x + 4) - Factor out the GCF, which is 2x.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b.

Front

How do you factor a binomial difference?

Back

For a - b, it can be factored as (a - b) if it is a difference of squares.