Solving Quadratic Equations By Factoring Chapter 5 Section 2.

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Solving Quadratic Equations By Factoring Chapter 5 Section 2

Transcript of Solving Quadratic Equations By Factoring Chapter 5 Section 2.

Page 1: Solving Quadratic Equations By Factoring Chapter 5 Section 2.

Solving Quadratic Equations By FactoringChapter 5Section 2

Page 2: Solving Quadratic Equations By Factoring Chapter 5 Section 2.

Warm Up Factoring – Always look for the GCF

•1. 2. 3.342 xx 1492 xx 1032 xx

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• 4. • 5. 372 2 xx 596 2 xx

Warm Up Factoring – Always look for the GCF

Page 4: Solving Quadratic Equations By Factoring Chapter 5 Section 2.

Warm Up Factoring – Always look for the GCF

• 6. • 7. 1055 2 xx 15123 2 xx

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Solving Quadratic Equations by FactoringWhat it is….. What this means….

• We are not going to graph anymore…..

• But we are going to “solve” a quadratic by factoring and setting each ________ equal to zero

• Each value of ___ will give you where the parabola crosses the _________

• This is called Solving the Quadratic

• Visualize the kickoff in a football game…

• When the football is placed on the ground, and where it hits the ground again, these are called the “solutions” of the quadratic

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Solving Quadratic EquationsUsing Factoring•Steps:

▫Factor the Equation▫Set equations equal to 0▫Solve for x

1832 xx

)3)(6( xx

03- xand 06 x

3 xand 6 x

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Now let’s use our own work!!!!

1. Go back to the warm up problems.2. Set each problem equal to zero.3. Solve for x. These are your solutions.

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Example

•Write the equation of quadratic in standard form if the solutions are x = 4, and x = -6.

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On a little piece of paper

•Write the equation of a quadratic in standard form if the solutions are x = 10 and x = -4

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CLASSWORK

Pg 260 # 4,5,10, 11, 12

HMWK : PG 260 # 23-28, 35-40, 47-50, 56-59, 65-70