x - 30 4x - 15 15. 2x²2 - 11x - 13 19. 8x² 30x - 27 16. 35

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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I need help with 19, please. Algebra 2 third edition ISBN: 978-1-64626-475-9

duces the
e binomi.
term,
294
Factor.
1.3x² - 15x
The height in feet of a projectile after t sec is expressed by the polynomial
- 167² + vt + h, where -16 is a constant in ft/sec² due to gravitational pull, v, is
the initial vertical velocity in ft/sec, and h, is the initial height in feet. This polyno-
mial model assumes negligible air resistance.
Example 6
of the ball as a factored polynomial.
If a soccer ball is kicked from the ground with an initial vertical velocity of 48 ft/sec, express the he
Answer
3. Factor trinomials.
Factoring Quadratic Polynomials
1. Factor out the greatest common factor.
2. Look for special factoring patterns.
Binomials: a² - b²
Trinomials: a² ± 2ab + b²
A. Exercises
Exercises
completely.
-21ab-2862
63.xyz
r+bx+c: Find factors of c whose sum is b.
ar² + bx + c: Find factors of ac whose sum is b.
5.9a²-b²
9. a² + 6a +9
3. y(y-1) + 2(y-1)
Sa²-37a-72
6y2²
3+168c²
+49
- 16t² + 48t + 0
= -16t² + 48t
- 16t(t - 3)
1. Substitute the initial vertical velocity and height into the polyno
modeling the height of a projectile.
2. Factor the polynomial.
2.x² - 81
6. 25x² - 4y²
10. 3c²-13c - 10
14.7x² - 67x - 30
18. 16x² - 34x - 15
3.x² - 4
7.x² - 2x - 63
11. c² - 9d²
15. 2x² - 11x - 13
19. 8x² - 30x - 27
21.3x² - 108
24. 19x² - 114x + 171
27. b² - 10bc +25c²
30.288a³ - 200a³
33. 12x³ + 104x² - 36x
36. 294-2412
4.4x² - 9
8. a 19
12. x(x +
16. 35x²-
22. 2x³ - 8x
25. a³b² + 2aª
28. 4x'y - 4x
31. x² - 1
34.30a-2
Transcribed Image Text:duces the e binomi. term, 294 Factor. 1.3x² - 15x The height in feet of a projectile after t sec is expressed by the polynomial - 167² + vt + h, where -16 is a constant in ft/sec² due to gravitational pull, v, is the initial vertical velocity in ft/sec, and h, is the initial height in feet. This polyno- mial model assumes negligible air resistance. Example 6 of the ball as a factored polynomial. If a soccer ball is kicked from the ground with an initial vertical velocity of 48 ft/sec, express the he Answer 3. Factor trinomials. Factoring Quadratic Polynomials 1. Factor out the greatest common factor. 2. Look for special factoring patterns. Binomials: a² - b² Trinomials: a² ± 2ab + b² A. Exercises Exercises completely. -21ab-2862 63.xyz r+bx+c: Find factors of c whose sum is b. ar² + bx + c: Find factors of ac whose sum is b. 5.9a²-b² 9. a² + 6a +9 3. y(y-1) + 2(y-1) Sa²-37a-72 6y2² 3+168c² +49 - 16t² + 48t + 0 = -16t² + 48t - 16t(t - 3) 1. Substitute the initial vertical velocity and height into the polyno modeling the height of a projectile. 2. Factor the polynomial. 2.x² - 81 6. 25x² - 4y² 10. 3c²-13c - 10 14.7x² - 67x - 30 18. 16x² - 34x - 15 3.x² - 4 7.x² - 2x - 63 11. c² - 9d² 15. 2x² - 11x - 13 19. 8x² - 30x - 27 21.3x² - 108 24. 19x² - 114x + 171 27. b² - 10bc +25c² 30.288a³ - 200a³ 33. 12x³ + 104x² - 36x 36. 294-2412 4.4x² - 9 8. a 19 12. x(x + 16. 35x²- 22. 2x³ - 8x 25. a³b² + 2aª 28. 4x'y - 4x 31. x² - 1 34.30a-2
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