Factorization

Front

What is factorization?

Back

Factorization 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 common factors?

Back

Common factors are numbers or expressions that divide two or more numbers or expressions without leaving a remainder.

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the expression using these numbers.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers or expressions share.

Front

Factor the expression: 20ab² - 5ab - 10a³b

Back

5ab(4b - 1 - 2a²)

Front

Factor the expression: 6x² + 13x + 6

Back

(3x + 2)(2x + 3)

Front

Identify the common factor in: 4x²(2w-3) - 5(2w-3)

Back

(2w-3)

Front

Identify the common factors in: 13m²y⁵ - 39my³ - 26y²

Back

13y²

Front

Factor the expression: m² + 3m + 2

Back

(m + 2)(m + 1)

Front

What is a polynomial?

Back

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