Multiply the following Binomials.

1. (x + 5)(x - 7) 2. (x - 4)(x - 6)

3. (x + 7)(x + 7) 4. (x + 7)(x - 7)

5. (x - 7)(x - 7) 6. (x - a)(x + a)

7. (x + 4)² 8. (x - 6)²

9. (2x + 3)(3x -5) 10. (3x + 7)(3x -7)

11. (5x + 1)(x + 5) 12. (4x - 7)(2x -3)

13. (x -9)(x+8) 14. (x - 9)(x - 1)

Find the vertex for each of the following. Report if the vertex represents a min or max.

15. f(x) = -7x² + 42x + 5 vertex = min/max

16. g(x) = 4x² - 6x + 1 vertex = min/max

17. h(x) = x² + 75 vertex = min/max

18. j(x) = -x² + 75 vertex = min/max

19. A projectile is launched and follows this path h(x) = -4x² + 64x + 3. All distances are in Meters.

How high does the projectile go?

20. These points are on a parabola. (8, 5) and ( -2, 5). What is the equation for the line of symmetr