Warm-Up Your neighbor asks you to cut her lawn. Her lawn is (6x+3) feet wide and (10x+3) feet long. A section of the lawn is covered by a small shed. The.

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Warm-Up Your neighbor asks you to cut her lawn. Her lawn is (6x+3) feet wide and (10x+3) feet long. A section of the lawn is covered by a small shed. The shed is (x-2) ft wide and (x+2) ft long. Write a polynomial that represents the total area of the lawn. Write a polynomial that represents the total area of the shed. Write a polynomial that represents the area of the lawn that you will mow.

Warm-Up Perform the indicated operation Put in standard form and classify (3n – 4n 2 + 7) +(7n 2 + 5n – 6) (7y 3 + 4y 2 -5y +3) – (8y 3 – 4y 2 -2y + 2) -3t 2 (3t 2 – 4t + 5) (x+3)(x-2)

Homework Review 8.3 Worksheet 1. 2x 2 + 7x + 6Quadratic Trinomial 2. 2x 2 + 5x + 2Quadratic Trinomial 3. 2x 2 + 5xy + 2y 2 Quadratic Trinomial 4. 2x 2 + 5x – 3 Quadratic Trinomial 5. 2x 2 – 9x + 4Quadratic Trinomial 6. x 2 + 3x Quadratic Binomial

7. 4x 3 + 4xy Cubic Binomial 8. 15c Cubic Binomial x 3 + 6x + 10Cubic Trinomial 10. 4x 4 + 8x 2 -28x 4 th Degree Tri 11. 8x 3 -26x 2 +13x+5Cubic Polynomial 12. –x 3 +5x 2 -x-10Cubic Polynomial x 3 -60x 2 -41x-4Cubic Polynomial 14. –x 3 -13x 2 -40x+14Cubic Polynomial

SECTION 8.4 MULTIPLYING SPECIAL CASES

Example Simplify (x 3 – 8)(x 3 + 8)

Example A square outdoor patio is surrounded by a brick walkway as shown. What is the area of the walkway?