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Published byClinton Ball Modified over 5 years ago

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Warm Up 1) Find the solution(s): 2)Find the vertex: f(x) = 2x 2 – 8x + 3

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Quadratics: Solve by Factoring

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WAYS TO SOLVE A QUADRATIC EQUATION ax² + bx + c = 0 There are many ways to solve a quadratic. The main ones are: –Graphing –Factoring –Quadratic formula

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By Graphing By looking at the roots, we can get the solutions. Here, the solutions are -2 and 4. y = (x + 2)(x – 4)

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Golden Rules of Factoring *Factor out GCF, if one 1)Difference of Squares: -x 2 – y 2 = (x + y)(x – y) 2)Easy (a=1) -make ac-b chart -write answer: (x + )(x + ) 3)Long (a>1) -make ac-b chart -split the middle term -factor by grouping

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x² + 8x + 7 =0

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4x 2 + 20x -12

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4x 2 – 49

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2x² + 13x + 6 =0

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x 2 + 15x + 36 (x+3)(x+12)

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x 2 + 36

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x 2 – 49

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2x² – 7x – 15 =0

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3x 2 + 7x - 20 (x+4)(3x-5)

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4x 2 + 5x – 6

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