1. Review Operations with Polynomials December 9, 2010

2. Combine like terms (–4a³ + a² –1) – (–3a³ – a² + 2a + 5) = –4a³ + a² –1 + 3a³ + a² – 2a – 5 –Distribute the –1. = (–4a³ + 3a³) + (a² + a²) – 2a + (–1 – 5) –Group like terms. = –a³ + 2a² – 2a – 6 –Combine like terms.

3. Simplify

4. You try

5. Distributive Property review –2(3b³ – b² + 5b – 6) Multiply the -2 to each part of the polynomial -6b³ + 2 b² – 10b + 12 What is different about the next problem?

6. You try

7. Multiplying 2 binomials Binomial is a polynomial with two parts (x + 4)(2x – 3) Use Foil Method or Box Method First x(2x)=2x² Outside(x)(-3)=-3x Inside(4)(2x)=8x Last(4)(-3)=-12 2x² - 3x + 8x – 12 = 2x² + 5x – 12

8. You try (x + 3)(x + 12) x² + 15x +36 (x – 5)( x – 3) x² – 8x + 15