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Overview
• Section 5.4 in the textbook– Multiply by monomials– Multiply binomials– Square binomials– Multiply (a + b)(a – b)– Multiply more than two polynomials
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Multiplying Polynomials in General
• To multiply (4x + 3)(2x2 – 3x + 7), we use the distributive property= 4x(2x2 – 3x + 7) + 3(2x2 – 3x + 7)
• Simplify and combine any like terms
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Multiplying Binomials
• Recall that a binomial is a polynomial with 2 terms
• Can also use the distributive property• A helpful pneumonic is FOIL (essentially
the distributive property)F irstO uterI nnerL ast
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Square Binomials
• First expand: (a + b)2 = (a + b)(a + b)
• Finally use FOIL
• Do NOT just square each of the individual terms!
(a + b)2 ≠ a2 + b2
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Multiply (a + b)(a – b)
• A special product
• Use FOIL to simplify
• The O and the I terms cancel
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Multiply More than Two Polynomials
• Multiply the first two polynomials using the techniques discussed thus far
• Use the distributive property to multiply the result by the last polynomial
• Simplify