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Multiplying polynomials

Multiplying polynomials. In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using a table click here. To see multiplication “in your head” click here. Using a table. Multiply x ² + 3 x – 2 by 2 x ² – x + 4.

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Multiplying polynomials

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  1. Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using a table click here. To see multiplication “in your head” click here.

  2. Using a table Multiply x² + 3x – 2 by 2x² – x + 4

  3. Using a table Multiply x² by 2x²

  4. Using a table Multiply x² by 2x²

  5. Using a table Multiply 3x by 2x²

  6. Using a table Multiply 3x by 2x²

  7. Using a table Fill in the rest of the table in the same way

  8. Using a table Fill in the rest of the table in the same way

  9. Using a table Fill in the rest of the table in the same way

  10. Using a table Fill in the rest of the table in the same way

  11. Using a table Fill in the rest of the table in the same way

  12. Using a table Fill in the rest of the table in the same way

  13. Using a table Fill in the rest of the table in the same way

  14. Using a table Fill in the rest of the table in the same way

  15. Using a table First the term in x4 Now add up all the terms in the table (x² + 3x – 2)(2x² - x + 4) = 2x4

  16. Using a table Now add up all the terms in the table then the terms in x³ (x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³

  17. Using a table Now add up all the terms in the table then the terms in x² (x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³ - 3x²

  18. Using a table Now add up all the terms in the table then the terms in x (x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³ - 3x² + 14x

  19. Using a table Now add up all the terms in the table and finally the constant term (x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³ - 3x² + 14x - 8

  20. Multiplying polynomials To see this example of multiplication using a table again click here. To see multiplication “in your head” click here. To end this presentation click here.

  21. Multiplying in your head Multiply x² + 3x – 2 by 2x² – x + 4 (x² + 3x – 2)(2x² – x + 4)

  22. Multiplying in your head Start by multiplying the first terms in each bracket to give a term in x4 (x² + 3x – 2)(2x² – x + 4) = 2x4

  23. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x³. There are two pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³

  24. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x³. There are two pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³

  25. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x². There are three pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x²

  26. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x². There are three pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x² - 3x²

  27. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x². There are three pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x² - 3x² - 4x²

  28. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x. There are two pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x² - 3x² - 4x² + 12x

  29. Multiplying in your head Now look for pairs of terms which multiply together to give a term in x. There are two pairs. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x² - 3x² - 4x² + 12x + 2x

  30. Multiplying in your head Finally multiply the last two terms in each bracket to give the constant term. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x² - 3x² - 4x² + 12x + 2x - 8

  31. Multiplying in your head Now simplify by collecting like terms. (x² + 3x – 2)(2x² – x + 4) = 2x4 –x³ + 6x³ + 4x² - 3x² - 4x² + 12x + 2x - 8 = 2x4 + 5x³ - 3x² + 14x - 8

  32. Multiplying polynomials To see this example of multiplication “in your head” again click here. To see multiplication using a table click here. To end this presentation click here.

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