Factor the expression: $$x^2 - 16$$

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

What does it mean to factor an expression?

Factoring an expression means to rewrite it as a product of its factors.

What is the result of factoring $$x^2 - 4x + 4$$ ?

$$ (x - 2)(x - 2) $$ or $$ (x - 2)^2 $$ .

What is the significance of the GCF in factoring?

The GCF helps simplify expressions and is often the first step in factoring polynomials.

What is the result of factoring $$x^2 + 6x + 9$$ ?

$$ (x + 3)(x + 3) $$ or $$ (x + 3)^2 $$ .

What is the difference between factoring and expanding?

Factoring is breaking down an expression into its factors, while expanding is multiplying out the factors.

What is the purpose of factoring quadratics?

Factoring quadratics helps solve equations, simplify expressions, and understand the roots of the polynomial.

Factoring Quadratics: GCF, Grouping, Difference of 2 Squares Flashcards

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1.

FLASHCARD QUESTION

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more terms is the largest factor that divides all the terms without leaving a remainder.

2.

FLASHCARD QUESTION

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