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5.4 Multiplying Polynomials

Learn how to multiply monomials by binomials and trinomials using the F.O.I.L. method. Practice distributing terms and mastering polynomial multiplication concepts efficiently. Upgrade your math skills today!

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5.4 Multiplying Polynomials

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  1. 5.4Multiplying Polynomials Objective: Multiply monomials by binomials and trinomials. Learn to use the F.O.I.L. method.

  2. Distribution 3x(5x2 + 3) 5x2y4(4x2 + 6x + 3y)

  3. F.O.I.L. is an acronym. F irst O uter I nner L ast

  4. Multiply Binomials I. F. O. L. (x + 2)(x + 3) x2 + 3x + 2x + 6 = x2 + 5x+ 6

  5. Multiply Binomials F O I L (x + 5)(x– 3) x2 – 3x + 5x – 15 = x2 + 2x– 15

  6. Multiply Binomials F O I L (2x– 3)(4x + 5) 8x2 + 10x – 12x – 15 = 8x2– 2x– 15

  7. Multiply Binomials F O I L (2x– 4)(x– 2) – 4x 2x2 – 4x + 8 = 2x2– 8x + 8

  8. Multiply Binomials F O I L (2x + y)(x + 2y) 2x2 + 4xy + xy + 2y2 = 2x2 + 5xy + 2y2

  9. Multiply Polynomials (x + 2)(x2 + 3x + 4) x3 + 3x2 + 4x + 2x2 + 6x + 8 = x3 + 5x2 + 10x + 8

  10. Assignment 5.4 Worksheet

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