Quadratics Factoring Method

Solve:

k² - 2k = 24

• k = -4, 6

• k = -4, -6

• k = -6, 1

• k = 4, -6

What are the roots of the function?

• x = 4, -1

• (-4, 1)

• x = -4, 1

• (4, 0) (-1, 0)

Factor:

x² - 169

• ( x - 13) ( x + 13)

• ( x + 13) ( x + 13)

• ( x - 13) ( x -13)

• Prime

Factor:

x² + 9x + 20

• (x + 10)(x - 2)

• (x + 4)(x + 5)

• (x - 10)(x + 2)

• (x - 8)(x + 20)

x² - 2x - 15

• (x - 5)(x + 3)

• (x + 3)(x - 5)

• (x - 3)(x - 5)

• (x - 15)(x - 2)

What is always the first step in factoring a quadratic ?

• take square root of both sides

• find slope

• look for difference of squares

• take out GCF

What is pattern for factoring Difference of Squares?

• (a - b)²

• (a + b)²

• (a + b)(a - b)

• (a + b)(b - c)

What is pattern for Squared Binomial?

• a² - b² = (a + b)(a - b)

• a² + 2ab + b² = (a + b)²

• ax² - c = a(x + c)(b - c)

• -b + b² - 4ac = (a + b)(b - c)

x² - 16

• Prime

• ( x - 4) ( x + 4)

• ( x - 8) ( x + 8)

• ( x - 4) ( x - 4)

Factor (Grouping):
20x³ - 25x² + 4x - 5

• (5x² - 5) (4x + 1)

• 5 (x² - 1) (4x + 5)

• (5x² + 1) (4x - 5)

• (5x² + 1) (4x - 1)