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 the factored form of (x - 3)(x - 3)?

Back

(x - 3)²

Front

List all the factors of 27.

Back

1, 3, 9, 27

Front

Factor the expression n² + 16n + 63.

Back

(n + 7)(n + 9)

Front

Factor completely: x² - 6x + 8.

Back

(x - 2)(x - 4)

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

How do you factor a trinomial of the form x² + bx + c?

Back

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

Front

What is a prime polynomial?

Back

A polynomial that cannot be factored into simpler polynomials over the integers.

Front

What is the greatest common factor (GCF)?

Back

The largest factor that divides two or more numbers.