10.4 Exercises
Guided Practice
Vocabulary Check
1. What is the zero-product property?
2. Is (x 2)(x2 9) 0 in factored form? Explain.
Skill Check
3. Are 5, 2, and 3 the solutions of 3(x 2)(x 5) 0? Explain.
4. ERROR ANALYSIS Find and
correct the error at the right.
(2x + 4)(x – 2) = 0
2x + 4 = 0
or
x–2 = 0
2x = 4
x=2
x=2
Does the graph of the function have x-intercepts of 4 and 5?
5. y 2(x 4)(x 5)
6. y 4(x 4)(x 5)
7. y (x 4)(x 5)
8. y 3(x 5)(x 4)
Use the zero-product property to solve the equation.
9. (b 1)(b 3) 0
10. (t 3)(t 5) 0
11. (x 7)2 0
12. (y 9)(y 2)(y 5) 0
13. Sketch the graph of y (x 2)(x 2). Label the vertex and the x-intercepts.
Practice and Applications
ZERO-PRODUCT PROPERTY Use the zero-product property to solve
the equation.
Student Help
HOMEWORK HELP
Example 1: Exs. 14–36
Example 2: Exs. 14–36
Example 3: Exs. 29–36
Example 4: Exs. 37–45
Example 5: Exs. 46–51
14. (x 4)(x 1) 0
15. (t 8)(t 6) 0
16. x(x 8) 0
17. (y 3)2 0
18. (b 9)(b 8) 0
19. (d 7)2 0
20. (y 2)(y 1) 0
21. (z 2)(z 3) 0
22. (v 7)(v 5) 0
23. (w 17)2 0
24. p(2p 1) 0
25. 4(c 9)2 0
26. (z 9)(z 11) 0
27. (a 20)(a 15) 0 28. (d 6)(3d 4) 0
SOLVING FACTORED CUBIC EQUATIONS Solve the equation.
29. (x 1)(x 2)(x 4) 0
30. y(y 4)(y 8) 0
31. (a 5)(a 6)2 0
32. r(r 12)2 0
33. 5(d 8)(d 12)(d 9) 0
34. 8(n 9)(n 9)(n 12) 0
35. (b 8)(2b 1)(b 2) 0
36. (y 5)(y 6)(3y 2) 0
10.4
Solving Quadratic Equations in Factored Form
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