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Special Products of Polynomials

Special Products of Polynomials. March 24, 2014 Pages 569-571. Find the product. 1 . (3 x + 4) 2. = (3x + 4)(3x + 4). = 9 x 2 + 12x + 12x + 16. = 9 x 2 + 24 x + 16. Simplify. 2 . (5 x – 2 y ) 2. = (5 x – 2y)(5 x - 2 y ). = 25 x 2 – 10xy – 10xy + 4y 2. Simplify.

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Special Products of Polynomials

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  1. Special Products of Polynomials March 24, 2014 Pages 569-571

  2. Find the product. 1. (3x + 4)2 = (3x + 4)(3x + 4) = 9x2 + 12x + 12x + 16 = 9x2 + 24x + 16 Simplify. 2. (5x – 2y)2 = (5x – 2y)(5x - 2y) = 25x2 – 10xy – 10xy + 4y2 Simplify. =25x2 – 20xy + 4y2

  3. 3. (x + 3)2 = (x + 3)(x + 3) =x2+ 3x + 3x + 9 Simplify. =x2+ 6x + 9 4. (2x + 1)2 = (2x + 1) + (2x + 1) = 4x2 + 2x + 2x + 1 Simplify. = 4x2 + 4x + 1

  4. 5. (4x – y)2 = (4x – y)(4x – y) = 16x2 – 4xy – 4xy +y2 Simplify. = 16x2 – 8xy +y2

  5. Use special products to find the product 26 34. 26 34 REVIEW SOLUTION Notice that 26 is 4 less than 30 while 34 is 4 more than 30. = (30 – 4)(30 + 4) Write as product of difference and sum. = 302 – 42 Sum and difference pattern = 900 – 16 Evaluate powers. = 884 Simplify.

  6. 6. (t + 5)(t – 5) = t2 – 52 Sum and difference pattern = t2 – 25 Simplify. = (3x)2 – y2 7. (3x + y)(3x – y) Sum and difference pattern = 9x2 – y2 Simplify.

  7. HOMEWORK Page 572, #4-34, even

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