1. Lesson 8-7 Multiplying Polynomials

2. FOIL Method- F = the First terms O = the Outer terms I = the Inner terms L = the Last terms (x + 3) (x - 2)

3. FOIL Method- F = the First terms O = the Outer terms I = the Inner terms L = the Last terms (x - 5) (x + 7) FOIL x  xx  7-5  x-5  7 x2x2 +++ +++7x-5x-35 x 2 + 2x -35

4. Find each product.

5. The Area A of a trapezoid is one-half the height h times the sub of the bases, b 1 and b 2. Write an expression for the area of the trapezoid. 3x - 7 x + 2 2x + 1 h = x + 2 b 1 = 3x - 7 b 2 = 2x + 1 A = ½h(b 1 +b 2 ) = ½(x+2)[(3x - 7)+(2x +1)] = ½(x+2)(5x - 6) = ½[x(5x) + x(- 6) + 2(5x) + 2(-6)] = ½(5x 2 - 6x + 10x -12) = ½(5x 2 + 4x -12)

6. The Area A of a triangle is one-half the height h times the base. Write an expression for the area of the triangle. 6x+4 X-7

7. The Distributive Property Ex. 4 (4x + 9) (2x 2 - 5x + 3) 4x(2x 2 - 5x + 3) + 9(2x 2 - 5x + 3) 8x 3 - 20x 2 + 12x + 18x 2 - 45x + 27 8x 3 - 2x 2 - 33x + 27 (y 2 - 2y + 5) (6y 2 - 3y + 1) y 2 (6y 2 - 3y + 1) - 2y (6y 2 - 3y + 1) + 5(6y 2 - 3y + 1) 6y 4 -3y 3 + y 2 -12y 3 + 6y 2 -2y + 30y 2 -15y + 5 6y 4 -15y 3 + 37y 2 - 17y + 5

8. Find each product.