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 like 3x² + 5x - 12?

Back

Look for two numbers that multiply to the product of the coefficient of x² and the constant term, and add to the coefficient of x.

Front

What is the factored form of 3x² + 5x - 12?

Back

(3x - 4)(x + 3)

Front

What is the first step in factoring by grouping?

Back

Group the terms in pairs and factor out the common factor from each pair.

Front

What is the factored form of 8x³ - 18x?

Back

2x(2x + 3)(2x - 3)

Front

What does it mean to factor completely?

Back

To factor an expression until no further factoring is possible, resulting in a product of irreducible factors.

Front

What is the factored form of x² + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is the purpose of factoring in solving equations?

Back

Factoring allows us to rewrite equations in a simpler form, making it easier to find solutions.

Front

What is the difference between factoring and expanding?

Back

Factoring breaks down expressions into products, while expanding multiplies out expressions to form sums.