Factoring Polynomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 standard form of a quadratic polynomial?

Back

The standard form of a quadratic polynomial is ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What are the factors of k² + 7k + 10?

Back

(k + 2)(k + 5)

Front

What are the factors of n² + 16n + 63?

Back

(n + 7)(n + 9)

Front

What are the factors of x² + x - 6?

Back

(x + 3)(x - 2)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest factors, such that no further factoring is possible.

Front

What are the factors of x² - 17x + 72?

Back

(x - 9)(x - 8)

Front

What are the factors of x² - 5x - 36?

Back

(x + 4)(x - 9)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.