Name ________________________________________ Date ____________________ Hour ________

H-03 Multiplying Polynomials

Part 1

Warm-Up: Perform each operation.

1. (3𝑥2 + 2𝑥 − 1) + (6𝑥2 − 3𝑥 − 1) 2. (3𝑥2 + 2𝑥 − 1) − (6𝑥2 − 3𝑥 − 1)

3. (5𝑥 + 2𝑥3 + 3𝑥2) + (−5𝑥 − 2𝑥3 − 3𝑥2) 4. (5𝑥 + 2𝑥3 + 3𝑥2) − (−5𝑥 − 2𝑥3 − 3𝑥2)

• When you multiply polynomials, you will use a combination of ________________________________ and

___________________________________________ (meaning exponents WILL CHANGE when multiplying).

• Your final answer should always be in __________________________________________.

• The basic though process is that each term in the first polynomial must be ____________________ to any

term in the second polynomial. No terms within the same polynomial should ever be multiplied to

each other.

Example Set 1:

I Do: You Do:

1A. 𝑥(𝑥2 + 1)

1B. 𝑥(𝑥3 + 2)

2A. 3𝑥(2𝑥2 − 5𝑥 + 3)

2B. −2𝑦(𝑦2 + 3𝑦 − 7)

3A. −2𝑦6(−𝑦 + 8𝑦3)

3B. −3𝑚9(−𝑚2 +𝑚3 − 1)

Example Set 2:

4A. (𝑥 + 8)(𝑥 − 7)

4B. (𝑚 − 4)(𝑚 + 6)

5A. (𝑥 + 8)(3𝑥 + 1)

5B. (4𝑥 + 5)(𝑥 + 2)

6A. (2𝑥 − 3)(5𝑥 − 1)

6B. (3𝑘 − 4)(2𝑘 − 5)

7A. (5𝑡 − 2)(5𝑡 + 2)

7B. (2𝑑 + 1)(2𝑑 − 1)