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 factor a difference of squares?

Back

A difference of squares can be factored using the formula: a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: x^2 - 25

Back

(x + 5)(x - 5)

Front

What is the result of factoring 3x^2 - 75?

Back

3(x + 5)(x - 5)

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: x^4 - 16

Back

(x^2 - 4)(x^2 + 4)

Front

What is the result of factoring x^2 + 81?

Back

Unfactorable.

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

How do you factor the expression 10x^2 + 15x - 5?

Back

5(2x^2 + 3x - 1)

Front

What is the formula for factoring a perfect square trinomial?

Back

a^2 + 2ab + b^2 = (a + b)^2.