Dividing Polynomials By a Binomial

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of lower degree, similar to long division with numbers.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (2x - 5).

Front

How do you divide a polynomial by a binomial?

Back

To divide a polynomial by a binomial, use polynomial long division or synthetic division to find the quotient and remainder.

Front

What is the quotient in polynomial division?

Back

The quotient is the result of the division process, representing how many times the divisor fits into the dividend.

Front

What is the remainder in polynomial division?

Back

The remainder is what is left over after dividing the polynomial; it can be zero or a polynomial of lower degree than the divisor.

Front

Divide (3x^2 - 10x + 3) by (x - 3). What is the result?

Back

3x - 1

Front

Divide (6x^2 + 7x - 5) by (3x + 5). What is the result?

Back

2x - 1

Front

Divide (8x^2 + 6x - 20) by (4x - 5). What is the result?

Back

2x + 4

Front

Divide (x^2 - 7x - 44) by (x + 4). What is the result?

Back

x - 11

Front

Divide (4m^2 - 20m) by (m - 5). What is the result?

Back

4m