1. Multiplying Polynomials NCVPS Summer 2010

2. Multiplying two terms Use the product rule to combine exponents: x2x3 = x(2 + 3) = x5 a(2a5) = 2a(1+5) = 2a6 3x2(2x5) = 3*2x(2+ 5) = 6x7 Do you see in this last example that the coefficients are multiplied together?

3. Multiplying a Monomial with a Binomial A monomial is a single term, such as 2x A binomial means there are two terms in the expression. An example is 3x + 1. Let’s multiply: 2x(3x + 1) = 2x(3x) + 2x (1) using distributive property = 6x2 + 2x

4. You Try One! Example 2: 4x(x – 3) Click on the slide when ready to move forward!

5. You Try One! Example 2: 4x(x – 3) 4x(x – 3) = 4x(x) + 4x(-3) = 4x2 + (-12x) = 4x2 – 12x

6. Two Binomials Multiplied Let’s look at (2x – 3)(x + 4). Each term in the first binomial is distributed against the second binomial. 2x(x+4) + (-3)(x + 4) = 2x(x) + 2x(4) + (-3)(x) + (-3)(4) = 2x2 + 8x + (-3x) + (-12) = 2x2 + 5x - 12

7. You Try One! Multiply (5x - 1)(2x + 3). Click on the slide when you are ready!

8. You Try One! Multiply: (5x - 1)(2x + 3) =(5x)(2x + 3) + (-1)(2x + 3) =(5x)(2x) +5x(3) + (-1)(2x) + (-1)(3) =10x2 + 15x – 2x – 3 =10x2 + 13x - 3

9. Are you ready? See your teacher if you have further questions! Take your formative assessment!