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
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Worksheet on Adding and Subtracting Polynomials
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Worksheet on Multiplying Monomial and Binomial
Worksheet on Multiplying Monomial and Polynomial