Algebra and Trigonometry, 5th Edition

Chapter Test

Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial as constant, linear, quadratic, cubic, or quartic.

1. 1. $f(x)=2x^3+6x^2-x^4+11$

2. 2. $h(x)=-4.7x+29$

3. 3. Find the zeros of the polynomial function and state the multiplicity of each:

   $$f(x)=x(3x-5){(x-3)}^2{(x+1)}^3.$$

4. 4. Hybrid Automobiles. In 2004, only 84,199 hybrid automobiles were sold, while in 2012, 431,798 were sold (Source: U.S. Department of Transportation). The quartic function

   $$\begin{array}{rcl}f(x)& =& 897.690x^4-\mathrm{10,349.487}{x}^3\\ + \mathrm{19,202.137}{x}^2+\mathrm{91,597.838}x\\ + \mathrm{88,209.580},\end{array}$$

   where x is the number of years after 2004, can be used to estimate the number of hybrid automobiles sold in years 2004 to 2012. Use this function to estimate the number of hybrid automobiles ...