350 CHAPTER 6 Factoring
Complete solution available
on the Video Resources on DVD
6.5 EXERCISES
1.Explain in your own words how the zero-factor property is used in solving a quadratic
equation.
2.Concept Check One of the following equations is notin proper form for using the zero-
factor property. Which one is it? Tell why it is not in proper form.
A. B.
C. D.Solve each equation. See Examples 1– 5.Solve each equation. See Example 6.
- 45.x^3 - 6 x^2 - 9 x+ 54 = 0 46.x^3 - 3 x^2 - 4 x+ 12 = 0
2 x^3 + 5 x^2 - 2 x- 5 = 0 2 x^3 +x^2 - 98 x- 49 = 09 x^3 = 16 x 25 x^3 = 64 xx^3 - 2 x^2 = 3 x x^3 - 6 x^2 =- 8 x2 x^3 - 9 x^2 - 5 x= 0 6 x^3 - 13 x^2 - 5 x= 01 x+ 321 x- 62 = 12 x+ 221 x- 62 12 x+ 121 x+ 52 = 1 x+ 1121 x+ 3212 x+ 121 x- 32 = 6 x+ 3 13 x+ 221 x- 32 = 7 x- 11 x- 321 x+ 52 =- 7 1 x+ 821 x- 22 =- 219 x^2 + 24 x+ 16 = 0 4 x^2 - 20 x+ 25 = 0- x^2 = 9 - 6 x -x^2 - 8 x= 16
- 3 x^2 + 27 = 0 - 2 x^2 + 8 = 0
4 p^2 - 16 = 0 9 z^2 - 81 = 06 x^2 - 36 x= 0 - 3 x^2 + 27 x= 04 p^2 + 16 p= 0 2 t^2 - 8 t= 015 x+ 121 x+ 32 =- 215 x+ 12 13 x+ 121 x- 32 = 2 + 31 x+ 522 x^2 - 12 - 4 x=x^2 - 3 x 3 x^2 + 9 x+ 30 = 2 x^2 - 2 x15 x^2 - 7 x= 4 3 x^2 + 3 =- 10 x2 x^2 = 7 x+ 4 2 x^2 = 3 - xx^2 + 9 x+ 18 = 0 x^2 - 18 x+ 80 = 0x^2 - 3 x- 10 = 0 x^2 +x- 12 = 012 k- 5213 k+ 82 = 0 13 q- 4212 q+ 52 = 01 x+ 1021 x- 52 = 0 1 x+ 721 x+ 32 = 03 x 1 x+ 821 x- 92 = 0 x 1 x- 32 + 61 x- 32 = 01 x+ 221 x- 62 = 0 x 13 x- 72 = 047.Concept Check A student tried to solve the equation in Exercise 41by first dividing
each side by x, obtaining. She then solved the resulting equation by the zero-
factor property to get the solution set. WHAT WENT WRONG?Give the correct
solution set.
48.Concept Check Without actually solving each equation, determine which one of the
following has 0 in its solution set.
A. B.
C. 6 x^2 + 9 x+ 1 = 0 D.x^3 + 4 x^2 = 3 x4 x^2 - 25 = 0 x^2 + 2 x- 3 = 0E-
4
3 ,4
3 F9 x^2 = 16