How to Multiply a Polynomial and a Monomial

How to Multiply a Polynomial and a Monomial

 Read,3 minutes

In order to multiply a polynomial by a monomial, you would utilize the distributive property: multiply each of the terms of the polynomial by the monomial. That means you must multiply the coefficients and add in the exponents of the applicable variables.

Bit by Bit guide for Multiplying a Polynomial and a Monomial

  • Whenever you multiply monomials, you must utilize the product rule for exponents.
  • Whenever you multiply a monomial by a polynomial, you must utilize the distributive property.
    a×(b + c) = a×b + a×c

Multiplying Polynomials and Monomials – Example one:

Multiply expressions.
3x(2x  6) =

Answer: Utilize the Distributive Property: a×(b + c) = a×b + a×c Then: 3x(2x  6) = 6x2 + 18x

Multiply a Polynomial and a Monomial Video

Free printable Worksheets

Exercises for Multiplying a Polynomial and a Monomial

1) 12(x + 2)=

2) 19(x + 2)=

3) 21x(x + 2)=

4) 14x(x + 3)=

5) 18x(x  2y)=

6) 10x(x  3y)=

7) 3x(x  4y)=

8) 14x(x  4y + 4)=

9) 7x(x  2y + 5)=

10) 22x(x  2y + 9)=

 
1) 12(x + 2)= 12x + 24
2) 19(x + 2)= 19x + 38
3) 21x(x + 2)= 21x2 + 42x
4) 14x(x + 3)= 14x2 + 42x
5) 18x(x  2y)= 18x2  36xy
6) 10x(x  3y)= 10x2  30xy
7) 3x(x  4y)= 3x2  12xy
8) 14x(x  4y + 4)= 14x2  56xy + 56x
9) 7x(x  2y + 5)= 7x2  14xy + 35x
10) 22x(x  2y + 9)= 22x2  44xy + 198x

Multiplying a Polynomial and a Monomial Practice Quiz