Do Now on the HUB · 2.13.17 Solving Quadratics by Factoring.notebook 1 February 14, 2017 Do Now on...
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2.13.17 Solving Quadratics by Factoring.notebook 1 February 14, 2017 Do Now on the HUB The expectaon is 1. Grab calculator, handouts, and notebook 2. Take out laptop, begin do now 3. You may quietly work in groups
Transcript of Do Now on the HUB · 2.13.17 Solving Quadratics by Factoring.notebook 1 February 14, 2017 Do Now on...
2.13.17 Solving Quadratics by Factoring.notebook
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February 14, 2017
Do Now on the HUBThe expectaon is1. Grab calculator, handouts, and notebook2. Take out laptop, begin do now3. You may quietly work in groups
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OBJECTIVE: I will be able to idenfy soluons to quadrac equaons by factoring
y = ax2 + bx + cQuadratic equationy = ( )( )
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The expectaon is1. All Laptops have been put away 2. We raise our hands to parcipate3. We are silent and tracking the speaker
How many solutions does each parabola have???
What do all the solutions have in common???
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Solving Quadracs by Factoring Notes
The expectaon is1. All Laptops have been put away 2. We are taking notes3. We are silent and tracking the speaker4. Raise a silent hand for quesons
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1. f(x) = 0 2. GCF 3. Factored form 4. Set factors equal to 0 and solve for x
0G C F
factored0 x
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1. f(x) = 0 2. GCF 3. Factored form 4. Set factors equal to 0 and solve for x
2x 10 = 0 9x + 3 = 0
x 6 = 0 x + 4 = 0
x = 6 x = 4
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1. f(x) = 0 2. GCF 3. Factored form 4. Set factors equal to 0 and solve for x
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Guided Practice
The expectaon is1. We work the problems together2. If called be ready to parcipate3. Quietly track the speaker4. Raise a silent hand for quesons
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1. f(x) = 0 2. GCF 3. Factored form 4. Set factors equal to 0 and solve for x
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February 14, 2017
1. f(x) = 0 2. GCF 3. Factored form 4. Set factors equal to 0 and solve for x
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Questions:
1. What is the difference between factoring and solving by factoring ?
Factoring splits the polynomial into two smaller polynomials. Solving by factoring splits the polynomial, sets the factors equal to 0, and solves for x.
2. What do you notice about the factors and the solutions?
The constants of the factors have the opposite sign to the solutions.
3. If you are given that the x-intercepts are x = -6 and x = 8, what would be the factored form of the original function? What about the standard form?
The factored form would be y=(x+6)(x-8). The standard form would be y=x2-2x-48.
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Checking For Understanding: What must the polynomial be equal to before solving?
ax2 + bx + c =
How do you find the soluons from the factors??
(x‐3)(x+7)=
