Factoring - All Types

Front

What is factoring in mathematics?

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 18a² - 15a?

Back

3a(6a - 5)

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b)

Front

Factor the expression x² - 25 using the difference of squares formula.

Back

(x + 5)(x - 5)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest expression that divides all terms in a polynomial without leaving a remainder.

Front

Factor -10xy⁹z + 8y³z⁵ by finding the GCF.

Back

2y³z(-5xy⁶ + 4z⁴)

Front

What is the factored form of x³ + 2x² - 49x - 98?

Back

(x + 7)(x - 7)(x + 2)

Front

What is the sum of cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

Factor the expression 8x³ + 27 using the sum of cubes formula.

Back

(2x + 3)(4x² - 6x + 9)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.