Division of Polynomial by a Monomial
Division of a Polynomial by a Monomial
A monomial can have only one term and a polynomial can have any number of terms. Division of a polynomial with a monomial involves dividing each term of the polynomial with the monomial. For dividing a polynomial in one variable by a monomial in the same variable, we perform the following steps :
Step I Obtain the polynomial (dividend) and the monomial (divisor).
Step II Arrange the terms of the dividend in descending order of their degrees.
For example, write
Step III Divide each term of the polynomial by the given monomial by using the rules of division of a
monomial by a monomial.
Illustration: Divide by
Solution: To divide the monomial we will perform the following steps:
Illustration: Divide by
Simplify: | |||
| Right Option : D | |||
| View Explanation | |||
Find the quotient : | |||
| Right Option : D | |||
| View Explanation | |||
Simplify: | |||
| Right Option : A | |||
| View Explanation | |||
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