Purpose: To multiply a polynomial by a monomial'

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4.5 P. 158

• Purpose To multiply a polynomial by a monomial.
• Homework p. 159-160 1-35 odd

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Chalkboard Examples

• y(y 2) Distribute
• y2 2y
• Sometimes it is helpful to draw arrows as you
  distribute. If you do not, you will forget about
  the 2nd number.

• -3b(2b² 4b 1)
• Distribute
• -6b³ - 12b² 3b

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Chalkboard Examples (cont.)

• a2a 3(1 a) Rewrite use Def. Of
  Subtraction
• a2a (-3)(1 (-a)) Distribute Inside
• a2a (-3) 3a Combine like terms
• a5a (-3) Distribute
• 5a² - 3a Final Answer

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Solving Example

• 4(y 7) 2y(1 3y) 6y² Rewrite
• 4(y (-7)) (-2y)(1 (-3y)) 6y²
• Distribute
• 4y (-28) (-2y) 6y² 6y² Combine
• 2y (-28) 6y² 6y² Dont Panic!!
• At this point, all squared terms will cancel out.
  You are not solving square terms!!!
• 2y (-28) 0 Subtracted 6y² from both sides
• 2y 28 y 14