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 polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to factor completely?

Back

To factor completely means to break down a polynomial into its simplest factors, such that no further factoring is possible.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states: a² - b² = (a + b)(a - b).

Front

How do you factor a trinomial of the form ax² + bx + c?

Back

To factor a trinomial of the form ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you find the GCF of a polynomial?

Back

To find the GCF of a polynomial, identify the highest degree of common factors in each term.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is the factored form of x² - 9?

Back

The factored form of x² - 9 is (x + 3)(x - 3), which is a difference of squares.

Front

What is the factored form of x² + 5x + 6?

Back

The factored form of x² + 5x + 6 is (x + 2)(x + 3).