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 are the factors of m² + 2m − 24?

Back

(m - 4)(m + 6)

Front

What are the factors of b² + 8b + 7?

Back

(b + 7)(b + 1)

Front

What are the factors of b² − 6b + 8?

Back

(b - 2)(b - 4)

Front

What are the factors of b² + 16b + 64?

Back

(b + 8)(b + 8)

Front

What are the factors of n² − 10n + 9?

Back

(n - 9)(n - 1)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials, meaning it cannot be factored further.

Front

What is the zero-product property?

Back

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