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Simplifying Quadratic Multiplication Expressions Trick

Learn a helpful trick to simplify quadratic expressions with signs, using the distributive property. Discover strategies like using charts, algebra tiles, and FOIL method. See examples and try homework practice.

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Simplifying Quadratic Multiplication Expressions Trick

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  1. 2.1 - Working with Quadratic Functions

  2. Here’s a trick to help you with the signs when you are multiplying two integers! - + - +

  3. A picture of Madison that is 10cm by 15cm is going to have a matting of uniform width around it inside of it’s frame. Determine a simplified expression for the area of the glass needed to cover the picture and matting. 2x+10 2x+15

  4. Area = (2x+10)(2x+15) Area = length x width To simplify algebraic expressions we use the distributive property. This means that we multiply everything inside of the second brackets by everything that is inside the first brackets!

  5. Area = (2x+10)(2x+15) • Strategy #1 – Make a chart Area = 4x2 +50x +150 +20x 4x2 +30x +150

  6. -x2 x -x • Strategy #2 – Algebra Tiles +1 -1 Area = (2x+3) (2x+2) x x +1 +1 +1 x x2 x2 x x x x x2 x2 x x x x x +1 +1 +1 +1 x x +1 +1 +1 +1

  7. F O I L • Strategy #3 – “FOIL” NSIDE UTSIDE AST IRST Area = (2x+10)(2x+15) 4x2 +30x +20x +150 Area = Area = 4x2+50x+150

  8. Example: Expand and simplify a) b) c)

  9. Homework: Page 85 #2, 3, 5 – 14

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