Add or subtract 1. (x 2 + 4x – 1) + (5x 2 – 6x + 4) 2. (5y 2 – 9y + 1) – (7y 2 – 8y – 6) Find the product 3.(x – 6)(3x + 4) 4.(2x + 5)(3x + 4) 6x 2 – 2x y 2 – y + 7 3x 2 – 14x – 24 6x x + 20

# of Terms Name by # of Terms 1 Monomial 2 Binomial 3 Trinomial 4+Polynomial

Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3Cubic

Identify the polynomial by degree and by the number of terms. Linear Binomial Degree: # of Terms: Leading Coefficient: 74

Identify the polynomial by degree and by the number of terms. Cubic Monomial Degree: # of Terms:

Identify the polynomial by degree and by the number of terms. Quadratic Trinomial Degree: # of Terms: Leading Coefficient: 5

Multiplying Polynomials Binomial Theorem and Pascals Triangle

1n = 0 1 1n = n = n = 3 ???n = 4

Binomial Theorem 1n = 0 1 1n = n = n = 3 (a+b) 0 = 1 (a+b) 1 = 1a + 1b (a+b) 2 = 1a 2 + 2ab + 1b 2 (a+b) 3 = 1a 3 + 3a 2 b + 3ab 2 + 1b 3

Binomial Theorem 1n = 0 1 1n = n = n = 3 Use the binomial theorem to write out (x + 3) 2.

Binomial Theorem 1n = 0 1 1n = n = n = 3 Use the binomial theorem to write out (x + 3) 3.

Binomial Theorem 1n = 0 1 1n = n = n = 3 Try (x + 2) 4.

Application x + 2 Find an expression for the area of the base and then, the volume of the box: A = x 2 + 4x + 4 V = x 3 + 6x x + 8 x + 2