5.3 Add, Subtract, and Multiply Polynomials

Add Polynomials Vertically or Horizontally

• Find the sum of the polynomials below:• 2x3 – 5x + 3x – 9 and x3 + 6x + 11 Vertically• (a) 2x3 – 5x2 + 3x – 9 + x3 + 6x2 + 11

Horizontally

(ex) 3y3 – 2y2 – 7y and -4y2 + 2y – 5 3y3 – 2y2 – 4y2 – 7y + 2y – 5 3y3 – 6y2 – 5y – 5

Subtract Polynomials

• Vertically• (ex) Subtract 3x3 – 2x2 – x + 7 from 8x3 – x2 – 5x + 1 Write a parenthesis around the second polynomial and distribute the minus sign.

Practice Problems

• Page 346 (1-3)

Multiply Polynomials

• Multiply -2y2 + 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 PatternsSum and Difference Example

Square of a Binomial Example

Cube of a Binomial Example

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) (3x2 – 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)