Factoring Polynomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler factors that, when multiplied together, give the original expression.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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

How do you factor a perfect square trinomial?

Back

A perfect square trinomial can be factored using the formula a² ± 2ab + b² = (a ± b)².

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 expression: w⁴ - 625

Back

(w² + 25)(w + 5)(w - 5)

Front

Factor the expression: x⁶ - 400

Back

(x³ - 20)(x³ + 20)

Front

Factor the expression: x³ - 5x² + 5x - 25

Back

(x² + 5)(x - 5)

Front

Factor the expression: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)