Multiplication of polynomial by monomial means every terms of the polynomial are multiplied by the monomial.
Similarly, to find the product of 3x + 5y – 6z and  5x
First we will write the monomial (5x) and the in the polynomial (3x + 5y – 6z) same row and then separate it by using the multiplication sign.
= 5x × (3x + 5y – 6z)
Now we will multiply each term of the polynomial (3x + 5y – 6z) by the monomial (5x)
= (5x × 3x) + (5x × 5y) – (5x × 6z)
= 15x^{2} – 25xy + 30xzSolved examples on multiplication of polynomial and monomial:
1. Find the product of x – y  z and 8x^{2}.● Terms of an Algebraic Expression
Types of Algebraic Expressions
Multiplication of Two Monomials
Multiplication of Polynomial by Monomial
Multiplication of two Binomials
Algebra Page
6th Grade Page
From Multiplication of Polynomial by Monomial to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

● Terms of an Algebraic Expression  Worksheet
Worksheet on Types of Algebraic Expressions
Worksheet on Degree of a Polynomial
Worksheet on Addition of Polynomials
Worksheet on Subtraction of Polynomials
Worksheet on Addition and Subtraction of Polynomials
Worksheet on Adding and Subtracting Polynomials
Worksheet on Multiplying Monomials
Worksheet on Multiplying Monomial and Binomial
Worksheet on Multiplying Monomial and Polynomial
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.