Asked by: Kenan Guarido
asked in category: General Last Updated: 16th March, 2020

How do you divide polynomials by Monomials?

To divide a polynomial by a monomial using the long division algorithm, we divide each term of the polynomial (dividend) with the monomial (divisor) to get the quotient. We will then multiply the divisor by the quotient and subtract the result from the dividend.

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Correspondingly, how do you divide by a Monomial?

To divide a monomial by a monomial, divide the coefficients (or simplify them as you would a fraction) and divide the variables with like bases by subtracting their exponents. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. Be sure to watch the signs!

Also Know, are fractions Monomials? However, monomials can be added or subtracted if they have like terms. The second expression appears not to be a monomial because a variable in the denominator of a fraction is the same as having that variable raised to a negative exponent. Remember, a monomial cannot have variables with negative exponents.

Similarly, you may ask, when dividing a polynomial by a Monomial each term of the polynomial is divided by the Monomial?

A number (or expression) divided by itself equals one. Another way of looking at "dividing by a monomial" is multiplying by the reciprocal of the monomial. See Example 2. When dividing a polynomial by a binomial, FACTOR completely both the numerator and denominator (the dividend and divisor) before reducing.

How do you divide exponents?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

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