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
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● 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
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