Multiplying Polynomials

1. Use FOIL method if you have 2 Binomials.◦F (first) O (outer) I (inner) L (last)

2. Use Distribution otherwise.

Remember to combine any like terms and write answer in descending order.

1. 2x3(4x2 – 3x + 2)

2. (6x + 1)(4x+ 7)

3. (x – 9)(4x + 9)

4. (2x + 6)2

5. (2x – 1)(x3 – 3x2 + 4x – 2)

Two binomials are conjugates if they are the sum and difference of the same two terms.

Find the conjugate of each: 1. -x + 5 2. 3x – 9 3. 2x2 + 10y

(a + b)(a – b) =

(a + b)(a – b) = a2 - b2

1) (2x + 4)(2x – 4) =

2) [(y + 3) + z][(y + 3) – z] =

1. Find (f·g)(x)

2. Find (f·g)(3)

3. Find (f·g)(-1)