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 – 4n2 + 7) +(7n2 + 5n – 6)

•(7y3 + 4y2 -5y +3) – (8y3 – 4y2 -2y + 2) •-3t2(3t2 – 4t + 5)

•(x+3)(x-2)

Homework Review•8.3 Worksheet•1. 2x2 + 7x + 6 Quadratic Trinomial•2. 2x2 + 5x + 2 Quadratic Trinomial•3. 2x2 + 5xy + 2y2 Quadratic Trinomial •4. 2x2 + 5x – 3 Quadratic Trinomial •5. 2x2 – 9x + 4 Quadratic Trinomial•6. x2 + 3x Quadratic Binomial

•7. 4x3 + 4xy Cubic Binomial•8. 15c3 + 20 Cubic Binomial •9. -14x3 + 6x + 10 Cubic Trinomial•10. 4x4 + 8x2 -28x 4th Degree Tri•11. 8x3-26x2+13x+5 Cubic Polynomial•12. –x3+5x2-x-10 Cubic Polynomial•13. 27x3-60x2-41x-4 Cubic Polynomial•14. –x3-13x2-40x+14 Cubic Polynomial

SECTION 8.4 MULTIPLYING

SPECIAL CASES

Example

•Simplify (x3 – 8)(x3 + 8)

Example

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