Algebra 2 Factoring - All Types Test Review

Front

What is factoring in algebra?

Back

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

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression ax² + bx + c is (px + q)(rx + s), where p, q, r, and s are constants.

Front

Factor the expression: 4x² + 64

Back

4(x² + 16)

Front

Factor the expression: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

Factor the expression: 8w⁵ - 48w⁴ + 72w³

Back

8w³(w - 3)(w - 3)

Front

Factor the expression: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

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 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 two or more numbers or expressions share.