Use Descartes' rule of signs to determine the possible number of positive, negative and imaginary zeros, then list all possible rational solutions (p/q.)
f(x) = x5 ­ 4x3 + x2 ­ 4
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5.7 Day 2
Find all zeros of the function.
1. List p/q
2. Identify all rational zeros from graph.
3. Divide using all rational zeros to prove that they are zeros.
4. Find any imaginary or irrational zeros using the polynomial from step 3. 2
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Write a polynomial function in standard form that has the following zeros.
*****Imaginary zeros and irrational zeros (√'s) always come in pairs. So if one is given as a zero, then you must also include the opposite as a zero.
Examples: If 7i is a given zero, then ________ must also be a zero.
If ­√7 is a given zero, then ______ must also be a zero.
If 7 + i is a given zero, then ______ must also be a zero.
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