Sections, concepts, and problems

Section 1. The algebra of polynomial functions. Roots and factors of polynomials, synthetic division.
3, 10, 11, 20, 21, 28, 33, 42, 43, 47, 53, 59 (multiply it out first), 61, 71, 78 (try grouping), 84 (this is really a quadratic in x²), 90

Section 2. Limits and derivatives of polynomial functions. Continuity, local and global behavior, derivatives.
2, 6, 10, 14, 18, 22, 24, 27, 32, 41, 48, 58, 64

Section 3. Graphing polynomial functions. Repeated roots, graphs of polynomial functions, finding a polynomial function that fits a given graph (i.e., "modeling").
1, 8, 12, 14, 20, 21, 34, 42, 46, 49, 56, 58 (note: s(0)=100, v(0)=-30, and a(t)=-32)

Section 4. Optimization with polynomial functions. Word problems! These are "applied max/min problems. To "optimize" is to "maximize or minimize", as the case may be.
9, 14, 16, 24, 25, 26, 32, 38

Other Chapters

Chap 0 | Chap 1 | Chap 2 | Chap 3 | Chap 4 | Chap 5 | Chap 6