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Chapter 8: Polynomials and Factoring
8.3: Multiplying Binomials
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8.3: Multiplying Binomials
Goals: To multiply two binomials and to multiply a binomial by a trinomial
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8.3: Multiplying Binomials
To find the product of two binomial: Use repeated distribution Example: 1. (2x + 1)(x + 2)
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8.3: Multiplying Binomials
You try: 2. (3x – 4)(x + 5)
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8.3: Multiplying Binomials
Example 3. What is the simplified form of (x + 4)(2x – 1)?
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8.3: Multiplying Binomials
Changing a quadratic in intercept form to standard forms requires using the FOIL method First Outer Inner Last Multiply the terms: first, outer, inner, last Combine any like terms
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8.3: Multiplying Binomials
Example: 4. (x + 3)(4x + 9)
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8.3: Multiplying Binomials
You try: 5. What is the simplified form of (3x + 1)(4x – 2)?
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8.3: Multiplying Binomials
You try: 6. What is the simplified form of (x – 7)(2x – 3)?
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8.3: Multiplying Binomials
Application: 7. What is the area of a rectangle with length 2x + 1 and width 5x – 2?
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8.3: Multiplying Binomials
You try: 8. The radius of a cylindrical gift box is (2x + 3) in. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form. (SA = 2πx2 + 2πrh)
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8.3: Multiplying Binomials
Product of a Trinomial and a polynomial: Repeated distribution Example: 9. What is the simplified form of (2x2 – 5x + 4)(x + 3)?
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8.3: Multiplying Binomials
You try: 10. What is the simplified form of (k2 – 4k + 3)(k – 2)?
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8.3: Multiplying Binomials
Homework Page 501 #8-34 (even) (skip 30)
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