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^2+11x+12

2. 3x^2 - 9x - 40

3. c

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