Quadratic Equation
Factoring
Square Roots
Graphing
Applications
100
How many solutions can a quadratic equation have?
0, 1, or 2
100
Factor x^2 + 5x + 4
(x + 1)(x + 4)
100
Solve x^2 - 16 = 0
x = -4, 4
100
What is the y-intercept of x^2 – 3x -10
-10
100
This equation is used to find what? h(t) = -16t^2 + h0
height of a falling object
200
What are the two other terms for "solutions" to quadratic equations?
roots, zeros
200
Solve by factoring x^2 -11x + 30 = 0
(x - 5)(x - 6) = 0 x = 5, 6
200
Solve by factoring x^2 + 2x = 0
x(x + 2) = 0 x = 0, -2
200
y = (x + 2)(x - 4) has what x-intercepts?
x = -2, 4
200
Find 2 consecutive even integers with a product of 420. Write the equation in standard quadratic form.
x(x + 2) = 420 So x^2 + 2x - 420 = 0
300
What methods can you use to solve quadratic equations?
graphing, square roots, factoring
300
Solve by factoring M(t) = t^2 + t - 30 How long will it take to be broke if M is money and t time is in weeks.
(t + 6)(t - 5) = 0 t = -6, 5 so t = 5
300
Solve x^2 - 15 = 10
x = -5, 5
300
What is the maximum of x^2 + 4x - 2?
No maximum!
300
What is the length of a rectangle that has length of x + 4 and width of x - 3 if the area is 44
(x + 4)(x - 3) = 44 x^2 + x -12 = 44 x^2 + - 56 = 0 (x - 7)(x + 8) = 0 x = -8, 7 L = 11, W = 4 L = 11
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