5.3 Add, Subtract, and Multiply Polynomials. Add Polynomials Vertically or Horizontally Find the sum of the polynomials below: 2x 3 – 5x + 3x – 9 and.

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5.3 Add, Subtract, and Multiply Polynomials

Add Polynomials Vertically or Horizontally Find the sum of the polynomials below: 2x 3 – 5x + 3x – 9 and x 3 + 6x + 11 Vertically (a) 2x 3 – 5x 2 + 3x – 9 + x 3 + 6x

Horizontally (ex) 3y 3 – 2y 2 – 7y and -4y 2 + 2y – 5 3y 3 – 2y 2 – 4y 2 – 7y + 2y – 5 3y 3 – 6y 2 – 5y – 5

Subtract Polynomials Vertically (ex) Subtract 3x 3 – 2x 2 – x + 7 from 8x 3 – x 2 – 5x + 1 Write a parenthesis around the second polynomial and distribute the minus sign.

Practice Problems Page 346 (1-3)

Multiply Polynomials Multiply -2y 2 + 3y – 6 and y – 2 Write parenthesis around the polynomials and use foil method.

Multiply 3 Binomials Multiply x – 5, x + 1, and x + 3. Use foil method to solve. Choose two of the three binomials to use foil method with. This will create a trinomial. Use the other binomial to multiply to the created trinomial.

Special Product Patterns Sum and DifferenceExample Square of a BinomialExample Cube of a BinomialExample

Examples of Special Patterns (ex) (3t + 4)(3t – 4) (ex) (8x – 3) 2 (ex) (2x + 5) 3

Practice Problems Find the product. (1) (x + 2) (3x 2 – x – 5) (2) (a – 5) (a + 2) (a + 6) (3) (xy – 4) 3

CW/HW Page 349 and 350 (3,9,17,22,29,43,44)