Solving Quadratics

Solve
a² + 2a - 24 = 0

• a = {-6, 4}

• a = {6, -4}

• a = {12, -2}

• a = {8, -3}

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

• Plug in zero for x

• Solve for x

• Double distribute

• Set each binomial factor equal to zero

Determine the values of a, b, and c for the quadratic equation: 

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

What should you do first in solving this equation by factoring?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Identify the 'a' value: y = 16x² -8x -24

• 16

• 8

• -8

• -24

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

What is the factored form and the solution to

x² - 6x + 9

• (x-3)(x-3)

  x = {3}

• (x+3)(x+3)

  x= {-3}

• (x+4)(x+2)

  x = {-4, -2}

• Not factorable

What is the standard form for a Quadratic?

• ax²+ bx = - c

• x = -b ± √(b²-4ac) / 2a

• ax² + bx + c

• y = mx + b

Drag the labels to the correct locations on the graph.

a

b

c

y-intercept

vertex

x-intercept