Factoring Practice

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 standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What are the factors of x² + 4xy + 4y²?

Back

(x + 2y)(x + 2y) or (x + 2y)².

Front

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

Back

Look for two numbers that multiply to c and add to b, then express the quadratic as (x + m)(x + n), where m and n are those two numbers.

Front

What is the factored form of x² + 7x - 30?

Back

(x + 10)(x - 3).

Front

What is the factored form of x² - 16x + 48?

Back

(x - 12)(x - 4).

Front

What is the factored form of k² + 7k + 10?

Back

(k + 2)(k + 5).

Front

What is the factored form of x² + 17x - 60?

Back

(x + 20)(x - 3).

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a + b)(a - b).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² + 2ab + b² = (a + b)².