Table of Contents
What is a Binomial?
A binomial is a mathematical expression consisting of two terms, usually denoted by parentheses. The first term is the coefficient of the x term, and the second term is the constant.
Operations Performed on Binomials
A binomial is a polynomial consisting of two terms, each of which is a monomial. The terms are usually separated by a plus sign or a minus sign. The following are all examples of binomials:
-5x + 2
3x – y
The most basic operations that can be performed on a binomial are addition and subtraction. For example, we can add 3x and 2x to get 5x:
3x + 2x = 5x
We can also subtract 5x from 3x to get -2x:
3x – 5x = -2x
Multiplication and division are also possible, but they are a little more complicated. For multiplication, the terms of the binomial are multiplied together:
3x * 2x = 6x^2
For division, the terms of the binomial are divided together:
3x / 2x = 1.5x
There are also a few special operations that can be performed on binomials. These are called radicals, and they involve taking the square root or the cube root of a binomial. For example, the square root of 9x^2 is 3x:
3x = 9x^2
The cube root of 8x^3 is 2x:
2x = 8x^3
Binomial Expansion
The binomial expansion is a mathematical operation that calculates the coefficients of a binomial expansion. The binomial expansion is a mathematical operation that calculates the coefficients of a binomial expansion. The binomial expansion is a mathematical operation that calculates the coefficients of a binomial expansion.
