Multiplying a Monomial by a Polynomial

1. Multiplying a Monomial by a Binomial

To multiply a monomial with a binomial we have to multiply the monomial with each term of the binomial.

Example

  • Multiplication of 8 and (x + y) will be (8x + 8y).
  • Multiplication of 3x and (4y + 7) will be (12xy + 21x).
  • Multiplication of 7x3 and (2x+ y4) will be (14x7+ 7x3y4).

2. Multiplication of Monomial by a trinomial

This is also the same as above.

Example

  • Multiplication of 8 and (x + y + z) will be (8x + 8y + 8z).
  • Multiplication of 4x and (2x + y + z) will be (8x2 + 4xy + 4xz).
  • Multiplication of 7x3 and (2x4+ y4+ 2) will be (14x+ 7x3y+ 14x3).
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