1. MULTIPLYING POLYNOMIALS

2. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students will know how to multiply polynomials by using the box method. They will use the rules of exponents and combining like terms to solve problems.

3. MULTIPLYING POLYNOMIALS Binomial X Binomial (3x + 2)(5x + 4)

4. BOX Method STEP 1: Draw the BOX

5. BOX Method 2x2 for a Binomial x Binomial

6. BOX Method STEP 2: Place terms on outside

8. BOX Method STEP 3: Multiply Find the area of each box.

10. BOX Method STEP 4: Combine Like Terms

12. BOX Method Why can’t I just combine like terms? Because we’re multiplying, not adding!

13. BOX Method LET’S SEE THAT AGAIN!

14. STEP 1: Draw the BOX

15. BOX Method 2x2 for a Binomial x Binomial

16. BOX Method STEP 2: Place terms on outside

18. BOX Method STEP 3: Multiply Find the area of each box.

20. BOX Method STEP 4: Combine Like Terms

22. BOX Method

23. AND AGAIN!

24. STEP 1: Draw the BOX

25. BOX Method 2x2 for a Binomial x Binomial

26. BOX Method STEP 2: Place terms on outside

28. BOX Method STEP 3: Multiply Find the area of each box.

30. BOX Method STEP 4: Combine Like Terms

32. BOX Method

33. YOU TRY 1.(5x – 1)(4x + 11) 2.(2x – 3)(3x + 4) 3.(2x 2 + 3x)(4x 2 – 2x)

34. BOX Method 2x2 for a Binomial x Binomial

38. BOX Method

39. What about a binomial x trinomial?

42. 1.(x 2 – 2x + 3)(2x + 4) 2.(2x + 3)(4x 2 – 2x + 4) 3.(4x – 2)(5x 2 – 4x – 3)

43. 1.(x + 3)(x + 2) 2.(2x + 4)(3x – 2) 3.(-3x + 4)(5x – 6) 4.(7x – 5)(5x – 7) 5.(3x – 4)(3x 2 – 2x – 4)