Factoring - GCF and Difference of Squares

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of 56 and 8?

Back

The GCF of 56 and 8 is 8.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Front

Factor the expression: 56a³ - 8a.

Back

8a(7a² - 1).

Front

What does it mean if an expression is 'unfactorable'?

Back

An expression is 'unfactorable' if it cannot be expressed as a product of simpler expressions.

Front

Factor the expression: 2n² - 8n³.

Back

2n²(1 - 4n²).

Front

What is the result of factoring 3x² - 75?

Back

3(x + 5)(x - 5).

Front

What is the result of multiplying (5c - 2)(3c² - 5c + 4)?

Back

15c³ - 31c² + 30c - 8.

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

What is the first step in factoring a polynomial?

Back

The first step is to find the GCF of all the terms in the polynomial.