Solving Quadratics

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

Solve using Zero-Product Property.
(x+4)(x-3) = 0

• x = 4 and x = -3
• x = 2 and x = 1
• x = -4 and x = 3
• x = -2 and x = 1

Solve

(x+6) (x-4) = 0

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

What are the roots of the function?

• x = 4, -1

• (-4, 1)

• x = -4, 1

• (4, 0) (-1, 0)

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

• -2, 4
• -8
• ±8
• No real solution

• -3, 4
• 3, 4
• -4, -3
• -3

• -6, -2
• -2, 6
• 2, 6
• -6, 2