Factoring Flashcard 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

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in an expression to factor out common factors.

Front

Factor the expression: 4p³ + 8p² + 3p + 6

Back

(4p² + 3)(p + 2)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Find the factors of: 5m² - 45m + 90

Back

5(m - 3)(m - 6)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a² - b² = (a + b)(a - b).

Front

Factor the expression: 7r³ - 8r² + 42r - 48

Back

(r² + 6)(7r - 8)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.