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Problem 62

Which expression is a cubic polynomial? $$\begin{array}{llll}{\text { A. } x^{3}} & {\text { B. } 3 x+3} & {\text { C. } 2 x^{2}+3 x-1} & {\text { D. } 3 x}\end{array}$$

Problem 62

How many four-letter permutations can you form from the letters of each word? CONJUGATES

Problem 63

How many four-letter permutations can you form from the letters of each word? \(\mathrm{SUM}\)

Problem 63

Which expression is a binomial? $$\begin{array}{llll}{\text { F. } 2 x} & {\text { G. } \frac{x}{2}} & {\text { H. } 3 x^{2}+2 x+4} & {\text { J. } x-9}\end{array}$$

Problem 63

State the number of terms in each expansion and give the first two terms. $$ (2 a+b)^{5} $$

Problem 63

Find a fourth-degree polynomial function with zeros \(1,-1, i,\) and \(-i .\) Write the function in both factored form and standard form.

Problem 63

Which of the following, when multiplied by \(x-1,\) results in a cubic polynomial whose standard form has three terms? \(\begin{array}{llll}{\text { A. }(x-1)^{2}} & {\text { B. } x^{2}-x} & {\text { C. } x^{2}-1} & {\text { D. } x-1}\end{array}\)

Problem 63

Graph each function to find the zeros. Rewrite the function with the polynomial in factored form. $$ y=x^{4}-10 x^{2}+9 $$

Problem 64

What is the degree of the polynomial \(5 x+4 x^{2}+3 x^{3}-5 x ?\) $$\begin{array}{llll}{\text { A. } 1} & {\text { B. } 2} & {\text { C. } 3} & {\text { D. } 4}\end{array}$$

Problem 64

a. Compare the graphs of \(y=(x+1)(x+2)(x+3)\) and \(y=(x-1)(x-2)(x-3)\) . What transformation could you use to describe the change from one graph to the other? b. Compare the graphs of \(y=(x+1)(x+3)(x+7)\) and \(y=(x-1)(x-3)(x-7) .\) Does the transformation that you chose in part (a) still hold true? Explain. c. Make a Conjecture What transformation could you use to describe the effect of changing the signs of the zeros of a polynomial function?

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