Factoring and FOIL Method Practice

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 FOIL method?

Back

The FOIL method is a technique for multiplying two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Front

Factor the expression: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

Factor the expression: x² + 12x + 36

Back

(x + 6)(x + 6)

Front

What does it mean for an expression to be prime?

Back

An expression is prime if it cannot be factored into simpler expressions with integer coefficients.

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

What is the difference of squares?

Back

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

Front

Factor by grouping: x³ - 4x² - 4x + 16

Back

(x - 4)(x² - 4)

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.