LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

RULES FOR ALGEBRAIC MULTIPLICATION

**RULES FOR ALGEBRAIC MULTIPLICATION **

**There are some rules of multiplication are described here –**

**1) If two numbers literals or terms have like signs then their
product will be positive and if they have unlike sign then the product will be
negative –**

**Example – a) ( + )
X ( + ) = ( + ) **

** b) ( - ) X ( -
) = ( + )**

** c) ( + ) X ( -
) = ( - )**

** d) ( - ) X ( +
) = ( - )**

**2) The product of two powers of a literals is another power
of the literal. The index of the product will be sum of the indices of the two
powers.**

** aᵐ X aⁿ = aᵐ⁺ⁿ**

**3) A X B X C = A X
C X B = B X C X A = B X A X C = B X C X
A = B X A X C**

**4) to multiply a polynomial by a monomial, multiply each term
of the polynomial by the monomial and add the product**

**5) To find the product of two polynomials, multiply each
term of one polynomial by all the terms of the other polynomial and then add
the products.**

**Multiplication of
monomials –**

**Product of monomials = ( product of their numerical
coefficient) X (product of their literal coefficient)**

**Multiplication of a
polynomial by a monomial –**

**
We
should multiply each term of the polynomial by the monomial and we should have
to add the product **

**Multiplication of two
polynomial –**

**
To
find the product of two polynomial, multiply each term of one polynomial by all
the terms of the other polynomial and add all the resulting product **