Factoring

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 equation?

Back

The factored form of a quadratic equation is expressed as (ax + b)(cx + d), where a, b, c, and d are constants.

Front

Factor the expression: 9x^2 - 6x - 8

Back

(3x + 2)(3x - 4)

Front

Factor completely: 5x^2 - 7x + 2

Back

(5x - 2)(x - 1)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states: a^2 - b^2 = (a - b)(a + b).

Front

Solve the equation: x^2 - 100 = 0

Back

x = -10, 10

Front

Factor the expression: a^2 - a - 12

Back

(a - 4)(a + 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

Factor the expression: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6)

Front

What is the greatest common factor (GCF)?

Back

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