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Magazine Problem 25
Find all the zeros of each function. $$ g(x)=x^{3}-\frac{1}{2} x^{2}+20 x-10 $$
Problem 27
Expand each binomial. $$ (7-2 x)^{6} $$
Problem 29
Sports How many different teams of 11 players can be chosen from a soccer squad of 16\(?\)
Problem 30
Find the zeros of each function. State the multiplicity of multiple zeros. $$ y=x(x-1)^{3} $$
Problem 31
For a band camp, you can choose two or three roommates from a group of 25 friends. In how many ways can you choose?
Problem 32
A salad bar offers eight choices of toppings for lettuce. In how many ways can you choose four or five toppings?
Problem 32
Writing Explain why cubic functions are useful for interpolating between known data points. Why are they often not reliable for extrapolating data?
Problem 36
Simplify. Classify each result by number of terms. $$ \left(5 x^{3}-6 x+8\right)-\left(3 x^{3}-9\right) $$
Problem 38
Simplify. Classify each result by number of terms. $$ (4 x-5 y)-(4 x+7 y) $$
Problem 40
a. Using real and imaginary as types of roots, list all possible combinations of root type for a fourth-deegree polynomial equation. b. Repeat to process for a fifth-degree polynomial equation. c. Make a Conjecture Make a conjecture about the number of real roots of an odd-degree polynomial equation.
