Divide Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial, similar to long division with numbers.

Front

What is the result of dividing a polynomial by a monomial?

Back

When dividing a polynomial by a monomial, each term of the polynomial is divided by the monomial.

Front

What is the degree of a polynomial?

Back

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

Front

How do you determine if a polynomial division is correct?

Back

You can check the correctness of polynomial division by multiplying the quotient by the divisor and adding the remainder; the result should equal the original polynomial.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c).

Front

What is the remainder theorem?

Back

The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is the factor theorem?

Back

The factor theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

Front

How do you find the width of a rectangle if the area and one dimension are known?

Back

To find the width, divide the area by the known dimension.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.