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 x² + 9x - 36?

Back

(x + 12)(x - 3)

Front

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

Back

(x + 2)(x + 3)

Front

What is the factored form of p² - 14p?

Back

p(p - 14)

Front

What is the factored form of x² - 5x - 24?

Back

(x - 8)(x + 3)

Front

What is the factored form of x² - 8x - 128?

Back

(x - 16)(x + 8)

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients of the quadratic, linear, and constant terms.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

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 the trinomial as (x + m)(x + n) where m and n are those numbers.