Lesson 7-7th FOIL PPT - polynomials - multyply with FOIL method
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The document provides methods for multiplying polynomials, specifically highlighting the distributive property, FOIL (First, Outer, Inner, Last), and the box method. Each technique is explained through examples, demonstrating how to apply them for different polynomial forms. It emphasizes that while the methods may vary in application, they yield the same results.
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Lesson 7-7FOILPPT.ppt multiply polynomials
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The document outlines three methods for multiplying polynomials: the distributive property, the FOIL method, and the box method. Each method is explained with examples, demonstrating how to apply these techniques to various polynomial expressions. It emphasizes that while different methods exist, they ultimately achieve the same result.multiplicaci坦 polinomis amb FOIL
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2) FOIL (First, Outer, Inner, Last), which is a mnemonic for multiplying binomials by multiplying corresponding terms.
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- Types of polynomials include monomials (1 term), binomials (2 terms), and trinomials (3 terms). Degree is the largest exponent of any term.
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Filipino 9 Maikling Kwento Ang Ama Panitikang AsiyanoPlate Tectonic Boundaries and Continental Drift Theory
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This 28 slide presentation covers the basics of plate tectonics and continental drift theory. It is an effective introduction into a full plate tectonics unit study, but does not cover faults, stress, seismic waves, or seafloor spreading.
To download PDF, visit The Homeschool Daily. We will be uploading more slideshows to follow this one. Blessings, Marie How to Customize Quotation Layouts in Odoo 18
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Tanja Vujicic, Senior Analyst and PISA for Schools Project Manager at the OECD spoke at the OECD webinar 'Turning insights into impact: What do early case studies reveal about the power of PISA for Schools?' on 20 June 2025
PISA for Schools is an OECD assessment that evaluates 15-year-old performance on reading, mathematics, and science. It also gathers insights into students learning environment, engagement and well-being, offering schools valuable data that help them benchmark performance internationally and improve education outcomes. A central ambition, and ongoing challenge, has been translating these insights into meaningful actions that drives lasting school improvement. LDMMIA Shop & Student News Summer Solstice 25
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Shop, Upcoming: Final Notes to Review as we Close Level One. Make sure to review the orientation and videos as well. Theres more to come and material to cover in Levels 2-3. The content will be a combination of Reiki and Yoga. Also energy topics of our spiritual collective.
Thanks again all future Practitioner Level Students. Our Levels so far are: Guest, Grad, and Practitioner. We have had over 5k Spring Views.
https://ldm-mia.creator-spring.comRomanticism in Love and Sacrifice An Analysis of Oscar Wildes The Nightingal...
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The story revolves around a college student who despairs not having a red rose as a condition for dancing with the girl he loves. The nightingale hears his complaint and offers to create the red rose at the cost of his life. He sang a love song all night with his chest stuck to the thorns of the rose tree. Finally, the red rose grew, but his sacrifice was in vain. The girl rejected the flower because it didnt match her outfit and preferred a jewellery gift. The student threw the flower on the street and returned to studying philosophyAd
Lesson 7-7th FOIL PPT - polynomials - multyply with FOIL method
- 1. Objective The student will be able to: multiply two polynomials using the FOIL method, Box method and the distributive property.
- 2. There are three techniques you can use for multiplying polynomials. The best part about it is that they are all the same! Huh? Whaddaya mean? Its all about how you write itHere they are! 1)Distributive Property 2)FOIL 3)Box Method Make sure to write this down!
- 3. 1) Multiply. (2x + 3)(5x + 8) Using the distributive property, multiply 2x(5x + 8) + 3(5x + 8). 10x2 + 16x + 15x + 24 Combine like terms. 10x2 + 31x + 24 A shortcut of the distributive property is called the FOIL method.
- 4. The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym and tells you which terms to multiply. 2) Use the FOIL method to multiply the following binomials: (y + 3)(y + 7).
- 5. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y2
- 6. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2 + 7y
- 7. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y + 3y
- 8. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21
- 9. Remember, FOIL reminds you to multiply the: First terms Outer terms Inner terms Last terms
- 10. The third method is the Box Method. This method works for every problem! Heres how you do it. Multiply (3x 5)(5x + 2) Draw a box. Write a polynomial on the top and side of a box. It does not matter which goes where. This will be modeled in the next problem along with FOIL. 3x -5 5x +2
- 11. 3) Multiply (3x - 5)(5x + 2) First terms: Outer terms: Inner terms: Last terms: Combine like terms. 15x2 - 19x 10 3x -5 5x +2 15x2 +6x -25x -10 You have 3 techniques. Pick the one you like the best! 15x2 +6x -25x -10
- 12. 4) Multiply (7p - 2)(3p - 4) First terms: Outer terms: Inner terms: Last terms: Combine like terms. 21p2 34p + 8 7p -2 3p -4 21p2 -28p -6p +8 21p2 -28p -6p +8
- 13. Multiply (y + 4)(y 3) 1. y2 + y 12 2. y2 y 12 3. y2 + 7y 12 4. y2 7y 12 5. y2 + y + 12 6. y2 y + 12 7. y2 + 7y + 12 8. y2 7y + 12
- 14. Multiply (2a 3b)(2a + 4b) 1. 4a2 + 14ab 12b2 2. 4a2 14ab 12b2 3. 4a2 + 8ab 6ba 12b2 4. 4a2 + 2ab 12b2 5. 4a2 2ab 12b2
- 15. 5) Multiply (2x - 5)(x2 - 5x + 4) You cannot use FOIL because they are not BOTH binomials. You must use the distributive property. 2x(x2 - 5x + 4) - 5(x2 - 5x + 4) 2x3 - 10x2 + 8x - 5x2 + 25x - 20 Group and combine like terms. 2x3 - 10x2 - 5x2 + 8x + 25x - 20 2x3 - 15x2 + 33x - 20
- 16. x2 -5x +4 2x -5 5) Multiply (2x - 5)(x2 - 5x + 4) You cannot use FOIL because they are not BOTH binomials. You must use the distributive property or box method. 2x3 -5x2 -10x2 +25x +8x -20 Almost done! Go to the next slide!
- 17. x2 -5x +4 2x -5 5) Multiply (2x - 5)(x2 - 5x + 4) Combine like terms! 2x3 -5x2 -10x2 +25x +8x -20 2x3 15x2 + 33x - 20
- 18. Multiply (2p + 1)(p2 3p + 4) 1. 2p3 + 2p3 + p + 4 2. y2 y 12 3. y2 + 7y 12 4. y2 7y 12