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Chapter 6 Review
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Write the polynomial in standard form.
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Name by degree and by number of terms.
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By degree – Cubic By number of terms - Trinomial
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Name by degree and by number of terms..
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By degree – Quartic By number of terms - Binomial
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Write the function in factored form. Determine the zeros and any multiplicity.
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The zeros are 0 (multiplicity 2), 5 and -2.
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Describe the end behavior of the function.
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Use the graph to approximate all relative minimums and maximums.
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Relative Maximum is 1. Relative Minimums are -7 and -1.5.
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Divide using long division.
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Divide using synthetic division.
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Explain the error that was made in the following problem.
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The student forgot to insert a zero in the top line for the term that is missing.
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List the possible rational zeros. Do not find the zeros.
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Given the roots of a polynomial to be -2 and -3i, you state the factors of the polynomial are (x+2) and (x+3i). Are you correct? Explain.
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Given the roots of a polynomial to be -2 and -3i, you state the factors of the polynomial are (x+2)(x+3i). Are you correct? Explain. No, if -3i is a root, then 3i must also be a root therefore the factors would be: (x+2)(x+3i)(x-3i)
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Find all solutions (real and imaginary).
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Good Luck on the test.
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