What is a Binomial?
A quadratic equation with two terms.
Factor x2 + 2x + 1 to a binomial
(x + 1) (x + 1)
Complete the square to form a Trinomial
x2 + 2x
Solve x2 + 5x + 6 = 0 by factoring
x = -3 or x = -2
What is a Trinomial?
A quadratic with three terms.
Factor x2 - 4x + 3
(x - 3)(x - 1)
Complete the Square to form a Trinomial
x2 - 6x
x2 - 6x + 9
Solve x2 + 10x = 11
Solve x2 - 7x + 10 = 0 by factoring
x = 2 or x = 5
What is a perfect square?
A number whose square root is a whole number (i.e. 25)
Factor x2 + 10x + 21
(x + 3)(x + 7)
Complete the Square
x2 - 10x
Solve x2 - 6x = 16
Solve 2x2 + 18x - 20 = 0 by factoring
x = -10 or x = 1
What is the name of the horseshoe-like curve that results from a quadratic?
Parabola
Factor x2 - 18x - 40
(x + 2)(x - 20)
Complete the square
2x2 + 16x
x2 + 8x + 16
Solve 2x2 - 28x = 30
Solve 6x2 + 66x + 180 = 0 by factoring
When is the only time that there is ONE x-value in a quadratic instead of two?
When the vertex/minimum or maximum value is on the x-axis.
Factor x2 + 15x - 594
(x - 18)(x + 33)
Complete the square
3x2 - 30x
Solve -5x2 - 80x = 140 by completing the square
x = -14 or x = -2
Solve -11x2 - 77x + 198 = 0 using factoring
x = -9 or x = 2