Notes: Solving Quadratic Equations by Factoring
Ex. 1: Solve for x.
a. x(x - 4) = 0
Steps:
1. Set equation equal to 0 (standard form)
b. (x - 4)(2x + 5) = 0
2. Factor completely
(GCF, 4 terms, 3 terms, 2 terms)
3. Set each factor equal to 0
4. Solve
Ex. 2: Solve by factoring.
a. m2 - 10m = 0
e. (x - 6)(x + 2) = 48
c. x2 + 2x = 63
d. -3r2 = 7r + 4
b. 9x2 = 49
Ex. 3: Find the zeros of the function.
a. f(x) = 3x 2 - 12x - 63
b. g(x) = x 2 - 12x + 36