Factoring
What's the Equation?
Vertex and Zeros
Complete the Square
Quadratics/Complete the square
100
x² - x + 3
What is the extended version of (x-3)(x+2)?
100
The equation (x-2)(x-5)=0 in standard form
What is x² - 7x + 10?
100
The zeros of the equation x² + 2x - 15 = 0
What are 5 and -3?
100
The number c must be in order to make x² - 8x + c a perfect square trinomial.
What is 16?
100
In ax^2 + bx + c = 0, which letter (a,b, or c) do we half and then square to "complete the square"?
b
200
(2x + 5)(2x + 1)
What is the factored form of 4x² + 12x + 5?
200
The equation y = (x – 1)² in standard form.
What is y = x² - 2x + 1?
200
The vertex of the function f(x) = 4x² + 16x - 4
What is (-2, 44)?
200
The answers when using "complete the square" for the equation x² + 6x = −2.
What are -3 minus the square root of seven and -3 plus the square root of seven?
200
Given the equation y= x^2 - 2, name the vertex of the parabola.
(0,-2)
300
(3x-4)(6x-5)
What is the factored form of 18x² - 39x + 20?
300
The zeros to the function f(x) = 3x² + 7x + 2
What are -1/3 and -2?
300
The answers when using "completing the square" to solve the equation t^2 – 8t = –6.
What are four plus the square root of ten and four minus the square root of ten?
300
Solve by completing the square: x^2 - 6x = 0
x=0, 6
400
6x² - 19x -7
What is the extended form of (2x-7)(3x+1)?
400
The equation of a parabola given vertex (3,-3) and point (0,6)
What is fx() = x² - 6x + 6?
400
The zeros to the equation 3(2x-7)(x+5) = 0
What are 7/2 and -5?
400
The number that must be c is 9x² - 24x + c is a perfect square trinomial.
What is 16?
400
Solve by factoring: x^2 - 4x - 5 =0
x=5,-1
500
2(x-1)(3x-5)
What is the extended form of 6x² - 16x + 10?
500
The equation of a parabola given the points (-2,6), (0,-4), and (1,-6)
What is f(x) = x² - 3x - 4?
500
The vertex of the function y + 10 = 4(x - 2)²
What is (2, -10)?
500
The answers when you "complete the square" of the equation x² + 20x + 40 = 0
What are negative ten plus two times the square root of fifteen and negative ten minus two times the square root of fifteen?
500
Mr.Beck's rectangular pool has a length of 10 feet and an area of 60 feet squared. If he wants to enlarge the pool by 4 feet in length and 6 feet in width, what will be its new area?
168 feet squared.