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7* =0 Zero Product Property What must equal? 7* =0 Zero Product Property What must equal? Zero Product Property: Either the factor=0 BLUE ? * OR Either the factor=0 PINK ? OR =0 factors equal 0 BOTH ? In this example, which factor must be zero? BLUE PINK BOTH NEITHER 8 * (x+5) =0 8 * (what is the solution to x+5 = 0) ? What x value makes the pink factor equal 0 ? (x+5) =0 When x = -5, the equation = 0 (8)*( +5) = 0 (8)*(x+5) = 0 (8)*( 0 ) = 0 8 -5 0 = 0 * √ (x+5) (what is the solution to x+5 = 0) ? What x value makes the pink factor equal 0 ? -5 =0 4 * (what is the solution to x - 6 = 0) ? What x value makes the pink factor equal 0 ? (x-6) =0 What x value makes the blue factor equal 0 ? (what is the solution to x = 0) ? x * What x value makes the pink factor equal 0 ? (x+2) (what is the solution to x+2 = 0) ? =0 When x=0, 0 ( +2) = 0 x(x+2) = 0 0 0 x (2) = 0 0 = 0 * √ When x=-2, -2 (x+2) ( +2) = 0 -2 x(x+2) = 0 -2 (0) = 0 0 = 0 =0 √ What x value makes the blue factor equal 0 ? (2x-8) * What x value makes the pink factor equal 0 ? (2x-6) =0 Zero Product Property shortcut: +1 (2x-1) Place the opposite of the number OVER the coefficient of x x=½ * -3 (4x+3) x=-¾ =0 Zero Product Property shortcut: (3x-1) x= Place the opposite of the number OVER the coefficient of x * (5x+1) x= =0 Zero Product Property shortcut: (9x-5) x= Place the opposite of the number OVER the coefficient of x * (7x+3) x= =0 (8x+5) Zero Product Property shortcut: x= Place the opposite of the number OVER the coefficient of x * (6x+1) x= =0 Zero Product Property shortcut: (5x-4) x= Place the opposite of the number OVER the coefficient of x * (7x+6) x= =0 ≈ ≈ ≀ ≀ ≀ ≀ ≀ ≀ ≈ ≈ SOMEONE is stinking up a stinky elevator. Either HE stinks, SHE stinks, OR they BOTH stink. THE END |