Dividing Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to divide polynomials?

Back

Dividing polynomials involves finding the quotient when one polynomial is divided by another polynomial or monomial.

Tags

CCSS.HSA.APR.D.6

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.

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 and simplify.

Tags

CCSS.HSA.APR.D.6

Front

What is the quotient in polynomial division?

Back

The quotient is the result of dividing one polynomial by another, representing how many times the divisor fits into the dividend.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder in polynomial division?

Back

The remainder is what is left over after dividing a polynomial when the divisor does not evenly divide the dividend.

Tags

CCSS.HSA.APR.B.2

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing polynomials, particularly useful when dividing by linear factors.

Tags

CCSS.HSA.APR.D.6

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 factor a polynomial?

Back

Factoring a polynomial involves rewriting it as a product of its factors, which can help in simplifying division.

Front

What is the area model for polynomial division?

Back

The area model visually represents polynomial division by using rectangles to show how the polynomials relate to each other.

Tags

CCSS.HSA.APR.D.6