Which is a factor of f(x) = 60x4 + 86x3 – 46x2 – 43x + 8? Use the Rational Root Theorem to help you find your answer.
What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?




What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.
The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to solve.




According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?



Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?




If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Which statement about the polynomial function g(x) is true?
Which statement best describes the equation x5 + x3 – 14 = 0?
If (x + k) is a factor of f(x), which of the following must be true?
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