Multiplying Monomials and/or Binomials and FOIL - Concept

Concept Concept (1)

Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.

Sample Sample Problems (6)

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Multiplying Monomials and/or Binomials and FOIL - Problem 1

Multiply:

a) (3x²)(5x⁴)
b) (⅓x²y)(12xy²)
c) 5x(3x² − 2y − 4)
Problem 1
How to multiply monomials with other polynomials.
Multiplying Monomials and/or Binomials and FOIL - Problem 2

Multiply:

(3x + 1)(x + 4)
Problem 2
How to FOIL to multiply binomials using addition.
Multiplying Monomials and/or Binomials and FOIL - Problem 3
Problem 3
To multiply with monomials, we need to multiply the coefficients and add the exponents
Multiplying Monomials and/or Binomials and FOIL - Problem 4
Problem 4
A common acronym for multiplying two binomials is FOIL, which stands for First, Outside, Inside, Last
Multiplying Monomials and/or Binomials and FOIL - Problem 5
Problem 5
An introduction to multiplying binomials through using the distributive property twice, and discussion of "like terms"
Multiplying Monomials and/or Binomials and FOIL - Problem 6
Problem 6
An area, or geometric model for multiplying polynomials is explored through a "rectangle" or "box" method of organizing terms.