Solve Quadratics by Factoring and Quadratic Formula

What is standard form of a quadratic equation?

• Ax² + Bx + C = 0

• Ax + By = C

• (x - H)² + K = 0

• (x - R₁)(x - R₂) = 0

Rewrite into standard form: f(x) = 2(x - 3)² - 1

• f(x) = 2x² - 17

• f(x) = 2x² - 12x + 8

• f(x) = 2x² - 12x + 17

• f(x) = 2x² - 19

Write the quadratic equation in factored form: y = 3x² - 7x - 6

• y = (3x + 2)(x - 3)

• y = (3x - 2)(x + 3)

• (3x + 2)(x - 3)

• (3x - 4)(x - 2)

Solve by factoring:
x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: 3x² - 27x = 0

• x = 9 (double root)

• x = 9, -9

• x = 0, 9

Tags

CCSS.HSA-REI.B.4B

• x = -5/3, -2

• x = 5/3, 2

• x = -5, -2

• x = 5, 2

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by factoring: 5x² - 25x = 5x - 40

• x = -4, -2

• x = -4, 2

• x = 4, 2

• x = 4, -2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: 81x² = 25

• x = 5/9, -5/9

• x = -5/9, -5/9

• x = 5/9, 5/9

Tags

CCSS.HSA-REI.B.4B

Solve 2r² - 3r - 5 = 0 using the quadratic formula.

• x = 1/2, -2

• x = 5/2, -1

• x = 2, -1/2

• x = 1, -5/2

• No Solution

Tags

CCSS.HSA-REI.B.4B