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Warm-Up

Warm-Up. -2x 2 (4x) (4y)(5xy) (-5x 3 )(-2x 2 ). Multiplying Polynomials by Monomials and FOIL. CCR Standard: A.APR.1 Perform Arithmetic operations on polynomials.

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Warm-Up

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  1. Warm-Up -2x2(4x) (4y)(5xy) (-5x3)(-2x2)

  2. Multiplying Polynomials by Monomials and FOIL CCR Standard: A.APR.1 Perform Arithmetic operations on polynomials Understand that polynomials form a system analogus to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

  3. Important Vocabulary • Monomial: A Monomial is an algebraic expression containing only one term. • Examples: 3xy2 , 3, 3x • Polynomial: A polynomial is a monomial or a sum or difference of two or more monomials. • Examples: 2x – 7, 5x2 + 2x - 8, - 7y2 + 4y - 13, 4x2 + 16xy + 16y2

  4. The Distributive Property Remember the Distributive Property? Its back!!!! We need it again! 8(x – 5) x(x – 4)

  5. Multiply a Polynomial by a Monomial Simplify: x(x2 + 2x)

  6. Multiply a Polynomial by a Monomial Simplify: x(x2 - 3x + 10)

  7. Multiply a Polynomial by a Monomial Simplify: x2(3x2– 7x + 10)

  8. Multiply a Polynomial by a Monomial Simplify: 3x(4x2 + 7x + 2)

  9. Multiply a Polynomial by a Monomial Simplify: -3x(4x2 + 7xy + 2y2

  10. Multiply a Polynomial by a Monomial Simplify: x(4x3 + 7x + 2)

  11. Multiply a Polynomial by a Monomial Simplify: -3x4(7x2 + 4x - 8)

  12. Multiply a Polynomial by a Monomial Simplify: 5x2 (6x2 + 8x - 9)

  13. FOIL F – First O – Outer I – Inner L – Last

  14. FOIL (x+4)(x+5)

  15. FOIL (x-3)(x-9)

  16. FOIL (x-2)(x+2)

  17. FOIL (5x-2)(4x+3)

  18. FOIL (5x-7)(3x-8)

  19. FOIL (6x-5)(x+8)

  20. FOIL (7x-4)(9x+8)

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