1. multiply (2x + 3)(x + 4)
2.multiply (3x + 5) (x - 8)
use ^ to indicate an exponent

3. 2. multiply: (4c - 9)(c2 + c - 7)
a. 4c3 + 63
b. 4c3 - 5c2 - 37c + 63
c. 4c3 + 4c2 - 28c

1. (2x+3)(x+4)

Use foil- first (2x*x), outer (2x*4), inner (3*x), last (3*4):
2x^2 + 8x + 3x + 12

Add like terms:
2x^2 +11x + 12

2. (3x+5)(x-8)

Use foil:
3x^2 - 24x + 5x - 40

Add like terms:
3x^2 - 19x - 40

3. (4c-9)(c^2 +c -7)

Distribute 4c to each term of (c^2 +c -7):
4c^3 + 4c^2 -28c - hold on to this until the end.

Distribute -9 to each term of (c^2 + c -7):
-9c^2 - 9c + 63

Add results, combine like terms:
(4c^3 +4c^2 -28c) + (-9c^2 -9c +63)
B; 4c^3 -5c^2 -37c +63