Factoring

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 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 completely: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor completely: x² - 13x + 40

Back

(x - 5)(x - 8)

Front

Factor: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor: x² + 7x - 30

Back

(x + 10)(x - 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 greatest common factor (GCF)?

Back

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

Front

How do you factor a trinomial of the form x² + bx + c?

Back

To factor a trinomial of the form x² + bx + c, find two numbers that multiply to c and add to b.