C H A P T E R 2 Polynomial and Rational Functions

262 Chapter 2 Polynomial and Rational Functions
Chapter 2 Practice Test
1. Sketch the graph of f x x and identify the vertex and the intercepts.
2 6x 5
2. Find the number of units x that produce a minimum cost C if
C 0.01x 2 90x 15,000.
3. Find the quadratic function that has a maximum at 1, 7 and passes through the point 2, 5.
4. Find two quadratic functions that have x-intercepts and 4
2, 0 , 0.
5. Use the leading coefficient test to determine the right and left end behavior of the graph
of the polynomial function fx 3x 5 2x 3 17.
6. Find all the real zeros of f x x 5 5x 3 4x.
7. Find a polynomial function with 0, 3, and 2 as zeros.
8. Sketch f x x 3 12x.
9. Divide 3x using long division.
4 7x 2 2x 10 by x 3
10. Divide x 3 11 by x 2 2x 1.
11. Use synthetic division to divide 3x 5 13x 4 12x 1 by x 5.
12. Use synthetic division to find f6 given fx 7x 3 40x 2 12x 15.
13. Find the real zeros of fx x 3 19x 30.
14. Find the real zeros of fx x 4 x 3 8x 2 9x 9.
15. List all possible rational zeros of the function fx 6x 3 5x 2 4x 15.
16. Find the rational zeros of the polynomial fx x 3 20
3 x2 9x 10
3 .
17. Write fx x as a product of linear factors.
4 x3 5x 10
18. Find a polynomial with real coefficients that has 2, 3 i,
and 3 2i as zeros.
3