Factor each polynomial. Confirm your answe graphing calculator. Exa 12. x2 + 17x + 42 13. y? – 17y + 72 14. a2 + 8a – 48 15. n2 – 2n – 35 16. 44 + 15h + h2 17. 40 – 22x + x² 18. -24 — 10х + x2 19. -42 – m + m2 Example 4 Solve each equation. Check your solutions. 20. x2 – 7x + 12 = 0 21 y? + y = 20 22. x2 – 6x = 27 23. a2 + 11a = -18 24. c2 + 10c +9 = 0 25. x2 – 18x = -32 %3D 26. n2 – 120 = 7n 27. d2 + 56 =-18d - 28. y2 – 90 = 13y 29. h2 + 48 = 16h 30. GEOMETRY A triangle has an area of 36 square feet. If the heignt of the triangle is 6 feet more than its base, what are its height and base Emple 5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.7: Factoring Special Products
Problem 45PPS
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Tina needs to reduce the width and length of the photo by the same amount. The
area of the photo should be reduced to half the original area. If the original photo
is 12 inches by 16 inches, what will be the dimensions of the smaller photo?
Practice and Problem Solving
Extra Practice is on page R8.
Exam 1 Factor eacn polynomial. Confirm your answers
ngagraphing calculator.
12. x2 + 17x + 42
13. y? — 17у + 72
14. a2 + 8a -
48
15. п2 — 2п — 35
16. 44 + 15h + h²
17. 40 – 22x + x²
18. —24 — 10Ох + x2
19. —42 — т+ m?
Example 4
Solve each equation. Check your solutions.
20. x2 – 7x + 12 = 0
(21 y +y = 20
22. x2 – 6x = 27
23. a2 + 11a = -18
24. c2 + 10c + 9 = 0
25. x² – 18x
-32
26. п2
120
= 7n
27. d2 + 56
= -18d
28. y2 — 90 %3D 13у
29. h2 + 48 = 16h
Emple 5
30. GEOMETRY A triangle has an area of 36 square feet. If the heignt of the triangle
is 6 feet more than its base, what are its height and base
Bookmark (
Transcribed Image Text:Tina needs to reduce the width and length of the photo by the same amount. The area of the photo should be reduced to half the original area. If the original photo is 12 inches by 16 inches, what will be the dimensions of the smaller photo? Practice and Problem Solving Extra Practice is on page R8. Exam 1 Factor eacn polynomial. Confirm your answers ngagraphing calculator. 12. x2 + 17x + 42 13. y? — 17у + 72 14. a2 + 8a - 48 15. п2 — 2п — 35 16. 44 + 15h + h² 17. 40 – 22x + x² 18. —24 — 10Ох + x2 19. —42 — т+ m? Example 4 Solve each equation. Check your solutions. 20. x2 – 7x + 12 = 0 (21 y +y = 20 22. x2 – 6x = 27 23. a2 + 11a = -18 24. c2 + 10c + 9 = 0 25. x² – 18x -32 26. п2 120 = 7n 27. d2 + 56 = -18d 28. y2 — 90 %3D 13у 29. h2 + 48 = 16h Emple 5 30. GEOMETRY A triangle has an area of 36 square feet. If the heignt of the triangle is 6 feet more than its base, what are its height and base Bookmark (
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