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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Quadratic Equations, Functions, and Inequalities
Factoring and Completing the Square

Warm-Ups



1

Completing the square means drawing the fourth side.
A)TRUE
B)FALSE
2

The equation (x - 3)2 = 12 is equivalent to x - 3 = 2(3)1/2.
A)TRUE
B)FALSE
3

Every quadratic equation can be solved by factoring.
A)TRUE
B)FALSE
4

The trinomial x2 + (4/3)x + 16/9 is a perfect square trinomial.
A)TRUE
B)FALSE
5

Every quadratic equation can be solved by completing the square.
A)TRUE
B)FALSE
6

To complete the square for 2x2 + 6x = 4, add 9 to each side.
A)TRUE
B)FALSE
7

(2x - 3)(3x + 5) = 0 is equivalent to x = 3/2 or x = 5/3.
A)TRUE
B)FALSE
8

In completing the square for x2 - 3x = 4, add 9/4 to each side.
A)TRUE
B)FALSE
9

The equation x2 = -8 is equivalent to x = ±2(2)1/2.
A)TRUE
B)FALSE
10

All quadratic equations have two distinct complex solutions.
A)TRUE
B)FALSE








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