Name ___________________________________________________________ Unit 4 Quiz 3 Review Homework Algebra #1 - #6, factor completely. 1. x 2 − x − 72 3. 10 x 2yz − 22x 3y 2z + 6 x 3yz 2 5. 8 x 3 − 72xy 2 2. 2x 2 − 18 x − 72 4. 15b 2 − 7b − 4 6. 16 x 2 − 56 x + 49 7. Find the dimensions of a rectangle that has an area of 6 x 2 + 13x + 5 . #8 -#13, solve. Show all algebraic steps. 8. 5c 3 = 45c 9. y 2 + 4y − 45 = 0 10. 3x 2 − 26 x = − 16 11. 4a 2 = 9 64 12. d 2 − 81 = 0 13. x 2 − 16 x + 64 = 0 #14 - #15, solve. Show all equations and algebra. 14. The area of a rectangle has a representation 2 of A = x − 3x . If the actual area of the rectangle is 238 square feet, what are the possible values of x? 15. Julian kicked a soccer ball into the air with an initial upward velocity of 40 feet per second. The height h in feet of the ball above the ground can be modeled by h = − 16t 2 + 40t , where t is the time in seconds after Julian kicked the ball. Find the time it takes the ball to reach the ground.

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