 The
binomial theorem is a rule. A binomial is an algebraic expression of two numbers that are
connected by a plus or minus sign. Newton’s shortcut made the process of multiplying
binomials easier, especially when used with numbers in Pascal's triangle.
.
(a + b)0 = 1
(a + b)1 = 1a + 1b
(a + b)2 = 1a2 + 2ab + 1b2
(a + b)3 = 1a3 + 3a2b + 3ab2
+ 1b3
Notice that the coefficients (numbers attached to the variables (a and b) are the
elements (numbers) in Pascal's triangle.
1.) Which of the following is a binomial?
8xy
4xy / 3z
2x + 10
2.) Which of the following is not a binomial?
5x - 18
7
+ 139
6xz3
3.) Who "invented" the Binomial Theorem?
Pascal
Euclid
Newton
4.) What is the Binomial Theorem?
Binomial’s theorem
A
rule for multiplying binomials
A
theorem about binomials
 
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