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Polynomial Multiplication Techniques and FOIL Method Explained

Learn to multiply polynomials with monomials using the Distributive Property, horizontal and vertical methods, and avoid common mistakes in simplifying. Master the FOIL method for binomial multiplication efficiently with step-by-step examples. Boost your algebra skills today!

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Polynomial Multiplication Techniques and FOIL Method Explained

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  1. Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) Distributive Property 2) 3)

  2. Multiplying Polynomials Horizontal Method Vertical Method + +

  3. Polynomial Squares Simplify. Common mistake!

  4. Simplify. 1) 2)

  5. Objective - To multiply binomials mentally using FOIL. Often the product of two binomials = Trinomial = Quadratic Term Constant Term Linear Term Takes too long!

  6. F O I L For use with the product of binomials only! First Outer Inner Last

  7. F O I L For use with the product of binomials only! First Outer Inner Last

  8. F O I L For use with the product of binomials only! Last First Outer Inner

  9. F O I L For use with the product of binomials only! Outer First Inner Last

  10. F O I L For use with the product of binomials only! Inner First Outer Last

  11. F O I L For use with the product of binomials only! First Outer Inner Last

  12. F O I L For use with the product of binomials only! Outer First Inner Last

  13. F O I L For use with the product of binomials only! Inner First Outer Last

  14. F O I L For use with the product of binomials only! Last First Outer Inner

  15. F O I L For use with the product of binomials only! First Outer Inner Last

  16. F O I L Try... First Outer Inner Last

  17. Use FOIL to multiply the binomials below. 1) 6) 2) 7) 3) 8) 4) 9) 5) 10)

  18. Use FOIL to multiply the binomials below. 11) 16) 12) 17) 13) 18) 14) 19) 15) 20)

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