Factoring(GCF, difference of 2 square and when a = 1)

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means breaking it down into simpler polynomials that, when multiplied together, give the original polynomial.

Front

What is a difference of two squares?

Back

A difference of two squares is a binomial of the form a² - b², which can be factored as (a + b)(a - b).

Front

Factor the expression: x² - 16.

Back

(x + 4)(x - 4) - This is a difference of two squares.

Front

What is the GCF of 12 and 8?

Back

The GCF is 4.

Front

Factor the expression: x² - 9.

Back

(x + 3)(x - 3) - This is a difference of two squares.

Front

What is the GCF of 15 and 25?

Back

The GCF is 5.

Front

Factor the expression: x² - 25.

Back

(x + 5)(x - 5) - This is a difference of two squares.

Front

What is the GCF of 18 and 24?

Back

The GCF is 6.

Front

Factor the expression: k² - 1.

Back

(k + 1)(k - 1) - This is a difference of two squares.