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Solving Quadratics by Factoring (Zero Product Property)

Solving Quadratics by Factoring (Zero Product Property). Procedure :. Step 1: Set it to equal zero X ₂= 0. Step 2: Factor the Equation 1.) find the GCF 2.) If four terms Group 3.) Backwards Foil. Procedure :.

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Solving Quadratics by Factoring (Zero Product Property)

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  1. Solving Quadratics by Factoring (Zero Product Property)

  2. Procedure: Step 1: Set it to equal zero X₂= 0 Step 2: Factor the Equation 1.) find the GCF 2.) If four terms Group 3.) Backwards Foil

  3. Procedure: Step 3: Use zero product property to find wheneach factor equals zero Step 4: Change to negative Or positive sign. Eg. X= 1, -1

  4. Now let’s do some examples 1.) X₂+10X= -16 +16 +16 X₂+10X+16= 0 (X+8)(X+2) X= -8,-2

  5. More Examples… 2.) X₂-16X+64= 0 (X-8)(X-8) X= 8

  6. More Examples… 3.) X₂+14X+49= 0 (X+7)(X+7) X= -7

  7. *The whole purpose of learning math is being to apply it in real life and using logic. Also algebra goes in other areas of math like Geometry, so I'm doing a word problem A rectangle is 2 feet longer than its wide. The area of the rectangle is 48 square feet. Let’s write an equation for this situation. A.)X₂+2X=48 X^2+2X=48

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