These are some homework problems that Tricia Colclaser gave her Honors Pre-Calculus students this week. She said they are tougher than anything they might find in their text books.
"Practicing on harder problems gives you a chance to really put all of your skills to work," the hand out says. Some of the skills that might come in handy are Descartes Rule of Signs, Boundedness, and Synthetic division.
Factor each polynomial. (Students were also asked to sketch graphs -- this part is optional.)
Hint: Find all possible rational zeros and test using synthetic division.
1. f(x) = -x^7 - x^6 - x^5 - x^4 + 12x^3 + 12x^2
2. g(x) = 4x^7 - 16x^6 + 7x^5 + 4x^4 +92x^3 - 56x^2 - 288
3. h(x) = x^6 + 2x^5 + 2x^4 + 2x^3 - x^2 - 4x - 2
Posted by: tomsing | March 6, 2009 2:02 PM | Report abuse
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