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Factor f (x) = 6×3 + 31×2 – 29x + 6 as a product of linear factors given that -6 is a zero.

Use the graph of y = 3x to graph the function f (x) = 3x + 5 + 2 on your submission paper.  Also, state the domain and range in interval notation.

Explain why a polynomial with real coefficients of degree 8 could have no real zeros. 

Explain why a polynomial with real coefficients of degree 5 must have at least one real zero. 

Given , find

Solve the equation. Write the solution set with the exact values given in terms of natural or common logarithms. Also give approximate solutions to 4 decimal places, if necessary.

Graph the function on your submission paper. State the domain and range.  g(x) = – (x – 1)2 + 2

Write the domain in interval notation.  Show your work on your submission paper. 

Use the graph of y = 5x to graph the function f (x) = 5x – 5 on your submission paper. Also, state the domain and range in interval notation.

Solve the problem on your submission paper.  f (x) = a. Graph f (x)b. Write an equation for f -1(x)c. Write the domain of f -1 in interval notation