Factoring Polynomials

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 a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the difference of squares formula?

Back

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

Front

What is the sum of cubes formula?

Back

The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).

Front

What is the difference of cubes formula?

Back

The difference of cubes formula states that a³ - b³ = (a - b)(a² + ab + b²).

Front

Factor the polynomial: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

Factor the polynomial: x⁶ - 400

Back

(x³ - 20)(x³ + 20)

Front

Factor the expression: a³ + b³

Back

(a + b)(a² - ab + b²)

Front

Factor the expression: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

Factor the quadratic: n² - 13n + 40

Back

(n - 5)(n - 8)