Factoring Review

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 difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Front

Factor the expression: 7w³ - 14w

Back

7w(w² - 2)

Front

Factor the expression: x² - 144

Back

(x - 12)(x + 12)

Front

Factor the expression: x² - 49

Back

(x + 7)(x - 7)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

Factor the expression: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

Factor the expression: 9x² - 49

Back

(3x + 7)(3x - 7)

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.