MAT 095 Lecture Notes - Lecture 27: Quadratic Equation
Document Summary
Provide a generalization to each of the terms listed in this section. Factoring: add, or subtract, all of the terms to make sure one side of the equation is 0, factor all of the polynomial expressions, set each factor equal to 0, solve the resulting equations. Multiplicities: if two of the given factors are the exact same, then the solution would be considered one of the following ways: Quadratic equation: this is the formula for the quadratic equation: ax2 + bx + c = 0. 6y + 3 = 4y2 (6y + 3) (6y + 3) = 4y2 (6y + 3) 4y2 6y 3 = 0 y = ( 6) q( 6)2. 4 4 ( 3) y = y = y = Zero-factor property: if ab = 0, then either of the following: 7m + 4 = 0 (7m + 4) (5m 2) = 0. Squaring property of equality and square root property: squaring property of equality.
