Unformatted text preview: MAC1147: Quiz #6
In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are nished, FOLD your paper in half lengthwise and write your name on the back. 1. Let f (x) = x3 − 3x + 2. (a) Use the Leading Coecient Test to determine the behavior of f (x) as x → −∞ (rise or fall?) and x → ∞ (rise or fall?). (b) Factor f (x) into linear factors (Hint: Use synthetic division with x = −2). (c) Use part (b) to state each zero of f (x) and give its multiplicity. (d) Use parts (a) and (c) to sketch a graph of f (x). Clearly label (or list o to the side) each x-intercept and the y -intercept. 2. Let z =
1 . 1+i (a) State the standard form of a complex number. (b) Use a complex conjugate to rewrite z in standard form. (c) TRUE or FALSE: 13 is a complex number. 1 ...
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- Fall '08
- Fundamental Theorem Of Algebra, Complex number, Root of a function