Answer:
Find each product.
1. (q + 6)(q + 5) 2. (x + 7)(x + 4)
q2 + 11q + 30 x2 + 11x + 28
3. (n - 4)(n - 6) 4. (a + 5)(a - 6)
n2 - 10n + 24 a2 - a - 30
5. (4b + 6)(b - 4) 6. (2x - 9)(2x + 4)
4b2 - 10b - 24 4x2 - 10x - 36
7. (6a - 3)(7a - 4) 8. (2x - 2)(5x - 4)
42a2 - 45a + 12 10x2 - 18x + 8
9. (3a - b)(2a - b) 10. (4g + 3h)(2g + 3h)
6a2 - 5ab + b2
8g2 + 18gh + 9h2
11. (m + 5)(m2 + 4m - 8) 12. (t + 3)(t2 + 4t + 7)
m3 + 9m2 + 12m - 40 t
3 + 7t
2 + 19t + 21
13. (2h + 3)(2h2 + 3h + 4) 14. (3d + 3)(2d2 + 5d - 2)
4h3 + 12h2 + 17h + 12 6d3 + 21d2 + 9d - 6
15. (3q + 2)(9q2 - 12q + 4) 16. (3r + 2)(9r2 + 6r + 4)
27q3 - 18q2 - 12q + 8 27r3 + 36r2 + 24r + 8
17. (3n2 + 2n - 1)(2n2 + n + 9) 18. (2t2 + t + 3)(4t2 + 2t - 2)
6n4 + 7n3 + 27n2 + 17n - 9 8t
4 + 8t
3 + 10t
2 + 4t - 6
19. (2x2 - 2x - 3)(2x2 - 4x + 3) 20. (3y2 + 2y + 2)(3y2 - 4y - 5)
4x4 - 12x3 + 8x2 + 6x - 9 9y4 - 6y3 - 17y2 - 18y - 10
GEOMETRY Write an expression to represent the area of each figure.
21.
4x + 2
2x - 2
22.
3x + 2
5x - 4
x + 1
23. NUMBER THEORY Let x be an even integer. What is the product of the next two
consecutive even integers?
24. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of
its base and its height. Find an expression for the volume of a rectangular pyramid
whose base has an area of 3x2 + 12x + 9 square feet and whose height is x + 3 feet.
x3 + 7x2 + 15x + 9 ft3
Explanation: