2.2 Polynonmials of Higher Degree (updated)
September 30, 2015
Warm-up
Solve using the quadratic formula.
1. 2x2-x+4=0
2. x2-4x=8
3. -x2-1=-3x
With the help of your calculator find the zeros,
min/max and intervals over which the following
function is increasing/decreasing.
4. y=3x3 - 4x2 + x - 1
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2.2 Polynonmials of Higher Degree (updated)
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September 30, 2015
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2.2 Polynonmials of Higher Degree (updated)
September 30, 2015
Let's Practice Putting This Together!
1. f(x) = x2-2x-8
Zeros:
End Behavior:
Min/Max:
Increasing:
Decreasing:
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2.2 Polynonmials of Higher Degree (updated)
September 30, 2015
Let's Practice Putting This Together!
2. h(x) = x3+x2-6x
Zeros:
End Behavior:
Min/Max:
Increasing:
Decreasing:
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2.2 Polynonmials of Higher Degree (updated)
September 30, 2015
Let's Practice Putting This Together!
3. f(x) = -x3+3x2+x-1
Zeros:
End Behavior:
Min/Max:
Increasing:
Decreasing:
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2.2 Polynonmials of Higher Degree (updated)
September 30, 2015
Working Backwards:
Write the equation of least degree with the
following roots:
1. 3, 4, -2
2. -1, 7, 2i, -2i
3. 0 mult. 3, 4, 2, mult. 2
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2.2 Polynonmials of Higher Degree (updated)
September 30, 2015
Quiz Tomorrow
You should be able to:
Determine the number of zeros based on
NO
CALC!
the degree of a function.
Sketch a graph given: x-ints, leading
coefficient, degree (without exact turning
points)
Work Backwards given roots
CALC!
Given a function graph and determine:
degree, roots, max/min, intervals when the
function is increasing/decreasing
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