Download Chapter 9.3 Multiplying Binomials Warm Up Find each product: 1.) 4

Chapter 9.3 Multiplying Binomials
Warm Up
Find each product:
1.) 4𝑟 (𝑟 2 − 1)
2.) 6ℎ (ℎ2 + 8ℎ − 3)
3.) 𝑦 2 (2𝑦 3 − 7)
Simplify and write in standard notation then classify:
Standard form:
Classification:
4.) (𝑥 3 + 3𝑥 2 + 𝑥) + (5𝑥 2 + 𝑥 + 1)
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5.) 𝑤(𝑤 + 1) + 4𝑤(𝑤 − 7)
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6.) 3𝑑2 (𝑑3 − 6) − 𝑑3 (2𝑑2 + 4)
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Example 1 – Multiplying two binomials
1.) (2𝑥 + 3)(𝑥 + 4)
2.) (6ℎ − 7)(2ℎ + 3)
3.) (5𝑚 + 2)(8𝑚 − 1)
4.) (9𝑎 − 7)(7𝑎 + 4)
5.) (𝑚2 − 3)(𝑚 + 5)
6.) (2𝑦 3 − 2)(𝑦 − 1)
Example 2 – Multiplying a trinomial and a binomial
1.) (4𝑥 2 + 𝑥 − 6)(2𝑥 − 3)
Distribution Method:
Horizontal Method:
2.) (6𝑛 − 8)(2𝑛2 + 𝑛 + 7)
3.) (3𝑎 − 2)(4𝑎2 − 3𝑎 + 1)
5.) (−2𝑥 + 2)(13𝑥 2 + 12𝑥 − 5)
4.) (6𝑞2 − 3𝑞 − 2)(−2𝑞 − 4)
6.) (−3𝑚2 − 𝑚 − 1)(−3𝑚 − 1)
Example 3 – Applying multiplication of polynomials
1.) Find the area of the shaded region:
X+2
3x +1
x
2.) Find the area of the shaded region:
2x +5
3x -1
5x +3
3.) Write a polynomial in standard form to represent the volume of a cube with side lengths n, n + 8, and n+ 7
4.) If n represents an even number, write an expression that represents the product of the next two even numbers.
Homework: page 469-470
#’s 2-44 evens only