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 p² - 14p?

Back

p(p - 14)

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 as (x - number1)(x - number2).

Front

What are the factors of 25x² - 81?

Back

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

Front

What is the factored form of 2x² + 11x + 14?

Back

(x + 2)(2x + 7)

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms.

Front

What is the factored form of 3x² + 10x - 8?

Back

(3x - 2)(x + 4)

Front

What does it mean to factor completely?

Back

To factor an expression until no further factoring is possible.

Front

What is the difference between factoring and expanding?

Back

Factoring breaks down an expression into products, while expanding multiplies out the factors.

Front

What is a quadratic expression?

Back

An expression of the form ax² + bx + c, where a, b, and c are constants.