1. Objective Review Multiplying Polynomials By the end of this presentation, youshould review the FOIL method, Boxmethod and the distributive property. Designed by Skip Tyler, Varina High School
2. Remember, there are 3 techniques you can use for multiplying polynomials. can use for multiplying polynomials. It’s all about how you write it… » Distributive Property » FOIL 3)Box Method
3. Multiply. (2x + 3)(5x + 8)Using the distributive property,multiply 2x(5x + 8) + 3(5x + 8). 2 10x + 16x + 15x + 24 Combine like terms. 2 10x + 31x + 24 A shortcut of the distributive property is called the FOIL method.
4. The acronym FOIL reminds you to multiply the: you to multiply the: First terms Outer terms Inner terms Last terms of the 2 binomials
5. The FOIL method is ONLY used whenyou multiply 2 binomials. It is an acronym and tells you which terms to multiply. Use the FOIL method to multiply the following binomials: (y + 3)(y + 7).
6. The third method is the Box Method. This method works for every problem! Here’s how you do it. Multiply (3x – 5)(5x + 2) 3x -5 Draw a box. Write a polynomial on the top and side of a box. It does not 5x matter which goes where.This will be modeled in the +2 next problem along with FOIL.
7. Multiply (3x - 5)(5x + 2) 2 First terms: 15x 3x -5 Outer terms: +6x Inner terms: -25x 5x 15x2 -25x Last terms: -10 Combine like terms. 2 +2 +6x -10 15x - 19x – 10You have 3 techniques. Pick the one you like the best!
8. Multiply (2x - 5)(x2 - 5x + 4) Combine like terms! 2 x -5x +4 2xNow you do the rest.... then click to reveal the answer -5 3 2 2x – 15x + 33x - 20
9. Multiply (y + 4)(y – 3)Which of the answers listed is the correct one.Click on the screen to find out! • y2 + y – 12 • y2 – y – 12 • y2 + 7y – 12 4. y2 – 7y – 12 • y2 + y + 12 • y2 – y + 12 • y2 + 7y + 12 8. y2 – 7y + 12
10. Multiply (2a – 3b)(2a + 4b)Try another one on your own. You choose the method.Click to reveal the answer. 1. 4a2 + 14ab – 12b2 2. 4a2 – 14ab – 12b2 • 4a2 + 8ab – 6ba – 12b2 • 4a2 + 2ab – 12b2 • 4a2 – 2ab – 12b2
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