MAC1106 Chapter Notes - Chapter 1: Algebraic Expression, Imaginary Number, Railways Act 1921

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC1106
• Professor: Staff

Document Summary

Whenever you deal with quadratics, they should normally be in the following form: ax2 + bx + c = 0 a 6= 0. The zero factor theorem, which is also called the zero property theorem , if both a and b are real numbers and that ab = 0, then either a = 0 or b = 0. Completing the square example x2 + 6x + 8 = 0 x2 + 6x + 8 8 = 0 8 x2 + 6x = 8. 2(cid:1)2 x2 + 6x + (cid:0) 6 (x + 3)2 = 1 q(x + 3)2 = 1. 2 (cid:1)2 u2 2u + (cid:0) 2. The quadratic formula is when the solutions of any given quadratic equation, which is ax2 +bx+c = 0 with a 6= 0, are by the following formula: x = b b2 4ac. 1 (2w + 1)2 8 (2w+1)2 (2w + 1)2 (2w+1)2.