Divide Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial or a monomial, resulting in a quotient and possibly a remainder.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial separately.

Front

What is the result of dividing 2x^7 by 2x?

Back

The result is x^6.

Front

What happens to the exponents when dividing like bases?

Back

When dividing like bases, subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the quotient of 3x^6 divided by 3x^3?

Back

The quotient is x^3.

Front

What is the remainder in polynomial division?

Back

The remainder is what is left over after dividing a polynomial by another polynomial when the division does not result in a whole number.

Front

Can you divide a polynomial by a polynomial?

Back

Yes, you can divide a polynomial by another polynomial, which may result in a polynomial quotient and a remainder.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial, which is faster than long division.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.