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Graphing Quadratic Equations. General Form of a Quadratic Equation. y = ax 2 + bx + c. Standard Form. ax 2 + bx + c = 0. Factoring and Solving. Rule 1 (the only rule) Find the G.C.F. Otherwise, look for something familiar. If factoring does not seem to be working….
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General Form of a Quadratic Equation y = ax2 + bx + c
Standard Form ax2 + bx + c = 0
Factoring and Solving • Rule 1 (the only rule) • Find the G.C.F. • Otherwise, look for something familiar
If factoring does not seem to be working….. • Ask the following question: • “Is the linear term missing?” • If so, SQUARE ROOTS SEEM GOOD.
Square Root Method • If you take the square root of both sides of an equation, then you must get TWO answers. Don't forget the
PERFECT SQUARED TRINOMIALS • “FIRST TERM SQUARED PLUS TWICE THE FIRST TIMES THE LAST PLUS THE LAST TERM SQUARED.” • Can be factored from a memorized formula.
Differences of Squares • A difference of two squares can be factored. • Remember that the inner and outer terms must be opposites.
A manufacturer determines that the number of drills it can sell is given by the formula where p is the price of the drills in dollars. • At what price will the manufacturer sell the • maximum number of drills? • b. What is the maximum number of drills that can be sold?
or Solve by factoring.