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 factored form of a difference of squares?

Back

The factored form of a difference of squares, a² - b², is (a + b)(a - b).

Front

Factor: 25x² - 9

Back

(5x + 3)(5x - 3)

Front

Factor: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is the factored form of x² + 16x + 15?

Back

(x + 1)(x + 15)

Front

Factor completely: 3x² - 7x + 2

Back

(x - 2)(3x - 1)

Front

Factor: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients of the quadratic expression in the form ax² + bx + c.

Front

What does it mean for an expression to be 'not factorable'?

Back

An expression is 'not factorable' if it cannot be expressed as a product of simpler expressions with rational coefficients.

Front

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

Back

(x - 2)(x - 3)