Name: Multiplying Two Monomials
Uploaded: 2019-07-19
Duration: 10 min 9 s
Description: Monomials are algebraic expressions that have only one term. Learn how to multiply such a monomial by another monomial, and the applications of it.

Question

Study the following algebraic expression and if the expression is monomial/binomial/trinomial/polynomial, write down the factors and coefficient of each term.

$7 a b - 6 c d$

Accepted Answer

The algebraic expression $7 a b - 6 c d$ has two terms $7 a b, 6 c d$ separated by an operator $-$ .

We know that, an algebraic expression having two unlike terms is called a binomial.

Hence, the expression $7 a b - 6 c d$ is a binomial.

Each constant and each literal multiplied together to form a product is called a factor of that product.

$\Rightarrow 7 a b = 7 \times a \times b \Rightarrow 6 c d = 6 \times c \times d$

Hence, factors of term $7 a b$ are $7, a, b$ and of term $6 c d$ are $6, c, d$ .

Any factor or group of factors of a product is known as the coefficient of the product of the remaining factors

Coefficients of $7 a b$ :
$7$ is the coefficient of $a b$ , $7 a$ is the coefficient of $b$ , $7 b$ is the coefficient of $a$ , $a b$ is the coefficient of $7$ .

Coefficients in term $- 6 c d$

$- 6$ is the coefficient of $c d$ , $- 6 c$ is the coefficient of $d$ , $- 6 d$ is the coefficient of $c$ , $c d$ is the coefficient of $- 6$ .

Study the following algebraic expression and if the expression is monomial/binomial/trinomial/polynomial, write down the factors and coefficient of each term.

$7 a b - 6 c d$

Important Questions on Introduction to Algebra

Learn and Prepare for any exam you want !

Study the following algebraic expression and if the expression is monomial/binomial/trinomial/polynomial, write down the factors and coefficient of each term. 7ab-6cd

Important Questions on Introduction to Algebra

Learn and Prepare for any exam you want !

Study the following algebraic expression and if the expression is monomial/binomial/trinomial/polynomial, write down the factors and coefficient of each term.

$7 a b - 6 c d$