1. Find the roots of Quadratic Equation `x^2+8x+12=0` by Factoring
Solution:
`x^2+8x+12=0`
`=>x^2+8x+12 = 0`
`=>x^2+2x+6x+12 = 0`
`=>x(x+2)+6(x+2) = 0`
`=>(x+2)(x+6) = 0`
`=>(x+2) = 0" or "(x+6) = 0`
`=>x = -2" or "x = -6`
2. Find the roots of Quadratic Equation `x^2-25=0` by Factoring
Solution:
`x^2-25=0`
`=>x^2-25 = 0`
`=>(x)^2-(5)^2 = 0`
`=>(x-5)(x+5) = 0`
`=>(x-5) = 0" or "(x+5) = 0`
`=>x = 5" or "x = -5`
3. Find the roots of Quadratic Equation `9x^2-24x+16=0` by Factoring
Solution:
`9x^2-24x+16=0`
`=>9x^2-24x+16 = 0`
`=>(3x)^2 - 2(3x)(4) + (4)^2 = 0`
`=>(3x-4)^2 = 0`
`=>(3x-4) = 0`
`=>3x = 4`
`=>x = 4/3`
4. Find the roots of Quadratic Equation `4x^2-5x-6=0` by Factoring
Solution:
`4x^2-5x-6=0`
`=>4x^2-5x-6 = 0`
`=>4x^2+3x-8x-6 = 0`
`=>x(4x+3)-2(4x+3) = 0`
`=>(4x+3)(x-2) = 0`
`=>(4x+3) = 0" or "(x-2) = 0`
`=>4x = -3" or "x = 2`
`=>x = -3/4" or "x = 2`
This material is intended as a summary. Use your textbook for detail explanation.
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