Algebraic Factoring and Quadratic Equations

Flashcards covering various algebraic factoring examples and formulas present in the lecture notes, including differences of squares and GCF techniques.

Factored form of $x^2 - 9$

$$(x-3)(x+3)$$

Factoring $3x^2 + 6x$ using Greatest Common Factor

$$3x(x+2)$$

Factored form of $x^2 - 16$

$$(x-4)(x+4)$$

Factored form of $x^2 + 10x + 25$

$$(x+5)(x+5)$$

Factored form of $x^2 - 25$

$$(x+5)(x-5)$$

Factoring $6x + 12$ using Greatest Common Factor

$$6(x+2)$$

Factoring $5x^2 - 20x$ using Greatest Common Factor

$$5x(x-4)$$

Factored form of $y^2 - 49$

$$(y-7)(y+7)$$

Standard form of a quadratic equation

$$ax^2 + bx + c = 0$$

Factored form of $a^2 - 64$

$$(a-8)(a+8)$$

Factored form of $x^2 + 6x + 9$

$(x+3)(x+3)$, also written as $(x+3)^2$