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Division of Polynomial by MonomialCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Division of polynomial by monomial = divide each term of a polynomial by the monomial and simplify.For dividing a polynomial in one variable by a monomial in the same variable, we perform the following steps : • Obtain the polynomial(Dividend) and the monomial(divisor). • Arrange the terms of the dividend in the descending order of their exponents. • Separate the each term using heart method. • Divide each term of the polynomial be the given monomial by using the rules of division of a monomial by a monomial. Some solved examples: _________________________________________________________________ 2) 9m ^{5} + 12m ^{4}  6m ^{2} ÷ 3m ^{2} Solution : 9m ^{5} + 12m ^{4}  6m ^{2} =  3m ^{2} Separate each term using heart method = (9m ^{5} /3m ^{2} ) + (12m ^{4} /3m ^{2} )  (6m ^{2} /3m ^{2} ) = 3m ^{3} + 4m ^{2}  2 _________________________________________________________________ 3) 24x ^{3} y + 20x ^{2} y ^{2}  4xy ÷ 2xy Solution : 24x ^{3} y + 20x ^{2} y ^{2}  4xy =  2xy = (24x ^{3} y/2xy) + (20x ^{2} y ^{2} /2xy)  (4xy/2xy) = 12x ^{2} + 10xy  2 _________________________________________________________________ 4) x + 2x ^{2} + 3x ^{4}  x ^{5} ÷ by 2x Solution : First arrange all the terms in decreasing order of exponents x ^{5} + 3x ^{4} + 2x ^{2} + x ÷ 2x x ^{5} + 3x ^{4} + 2x ^{2} + x =  2x = (x ^{5} /2x) + (3x ^{4} /2x) + (2x ^{2} /2x) + (x/2x) = (1/2) x ^{4} + (3/2)x ^{3} + x + 1/2 ________________________________________________________________ 5) 5x ^{2}  25x ÷ 5x Solution : First arrange all the terms in decreasing order of exponents 5x ^{2}  25x ÷ 5x 5x( x  5) =  5x = x 5 Division of Algebraic Expressions • Division of Polynomial by Monomial • Division of Polynomial by Binomial Home Page Covid19 has affected physical interactions between people. Don't let it affect your learning.
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