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Polynomials Dividing/ Factoring Equations Inequalities Miscel- laneous 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500
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Consider this Differences Table. What type of polynomial is this?
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3rd degree; cubic
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Describe the end behaviour of
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Starts HIGH Ends LOW (because it has an odd degree (5) and it has a negative leading coefficient)
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How many turning points (minimum and maximum) can a quartic polynomial have?
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At least 1, at most 3
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Draw a sketch of the polynomial
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y-scale does not need to be exact!
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Determine the equation, in factored form, of the following polynomial:
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Find the remainder of when it is divided by
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Use synthetic division to find the quotient of divided by
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Factor fully:
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Find the quotient and remainder of divided by
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Find the zeros of the polynomial:
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What are the solutions to the following equation:
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Solve
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Solve the equation:
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Solve the equation:
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The depth of a diver, D, over t minutes is given by: When is the diver at the surface?
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Write this set of numbers using interval notation:
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Solve the linear inequality:
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What is the solution set to the polynomial inequality:
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What is an inequality represented by the following graph:
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The height of a bird after x seconds is given by The height of a fly after x seconds is given by When is the bird below the fly?
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What values must be considered when finding factors of
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(all the factors of 18)
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What is the degree of the quotient of
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3 (quintic, degree 5 divided by quadratic, degree 2 is a cubic, degree 5 – 2 = 3)
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Is this polynomial even, odd, or neither?
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Even
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Is this polynomial even, odd or neither?
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Neither
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Sketch the function. Label zeros.
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