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 does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means expressing it as a product of irreducible factors, which cannot be factored further.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you find the GCF of 4x and 6?

Back

The GCF of 4x and 6 is 2, so you can factor it as 2(2x + 3).

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.

Front

Factor the expression: 4x + 6.

Back

2(2x + 3).

Front

Factor completely: x² - 7x - 8.

Back

(x + 1)(x - 8).

Front

Factor completely: 5x² - 11x + 6.

Back

(5x - 6)(x - 1).

Front

Factor completely: x² - 17x + 72.

Back

(x - 9)(x - 8).