Algebra 2 Factoring Review

Front

What is the greatest common factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 20a^2b^2 and 50b^3?

Back

The GCF is 10b^2.

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 the trinomial 3x^2 - 15x?

Back

Factor out the GCF: 3x(x - 5).

Front

What is the process of factoring a trinomial?

Back

To factor a trinomial, find two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x).

Front

Factor the trinomial x^2 - 2x - 8.

Back

(x - 4)(x + 2).

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest form, where no further factoring is possible.

Front

Factor the expression 5x^2 - 40x + 80 completely.

Back

5(x - 4)^2.

Front

What is the difference of squares?

Back

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

Front

Factor the expression n^2 + 16n + 63.

Back

(n + 7)(n + 9).