Factoring Flashcard

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 from each group.

Front

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

Back

(4p² + 3)(p + 2)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to look for a common factor in all terms of the expression.

Front

Factor the expression: 2x² + 12x - 54

Back

2(x + 9)(x - 3)

Front

What is a common factor?

Back

A common factor is a number or variable that divides two or more terms evenly.

Front

Factor the expression: 18a² - 15a

Back

3a(6a - 5)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, where no further factoring is possible.

Front

Factor the expression: 2k² - 14k - 60

Back

2(k - 10)(k + 3)

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into products, while expanding is multiplying out the factors to get the original expression.