4.9 - Factoring Review

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

Back

(x - 2)(x - 10)

Front

Back

(x + 3)(x - 5)

Front

Back

3(x^2 + 20x - 10)

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 an expression to be 'completely factored'?

Back

An expression is completely factored when it is expressed as a product of irreducible factors.

Front

Back

10(9x + 8)(9x - 8)

Front

What is the difference between a prime polynomial and a factorable polynomial?

Back

A prime polynomial cannot be factored into simpler polynomials, while a factorable polynomial can.

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

Back

(x + 2)(x + 3)