5.3 – Add, Subtract, and Multiply Polynomials

To add or subtract polynomials, add or subtract the coefficients of like terms.

You can use a vertical or horizontal format.

5.3 – Add, Subtract, and Multiply Polynomials

Example 1:

a. Add 2x3 – 5x2 + 3x – 9 and x3 + 6x2 + 11

b. Add 3y3 – 2y2 – 7y and -4y2 + 2y – 5

5.3 – Add, Subtract, and Multiply Polynomials

Example 2:

a. Subtract 3x3 + 2x2 - x + 7 & 8x3 - x2 – 5x+ 1

b. Subtract 5z2 – z + 3 and 4z2 + 9z – 12

5.3 – Add, Subtract, and Multiply Polynomials

Example 3:

a. Multiply -2y2 +3y – 6 and y – 2

b. Multiply x + 3 and 3x2 – 2x + 4

5.3 – Add, Subtract, and Multiply Polynomials

Example 4:

Multiply x – 5, x + 1, and x + 3

5.3 – Add, Subtract, and Multiply Polynomials

5.3 – Add, Subtract, and Multiply Polynomials

Example 5:

a. (3t + 4)(3 t – 4)

b. (8x – 3)2

c. (pq + 5)3