

Binomial Theorem and Pascal's Triangle
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
14 Slides • 5 Questions
1
Binomial Expansion L1
By Henry Phan
2
Pascal's Triangle
•Pascal’s triangle help to determine all coefficients of a binomial expansion. Where a, b ∈ R, and exponent n ∈ N
Start with number “1” at the top, then continue placing numbers below by the sum of two consecutive numbers on the same row.
3
Pascal's Triangle
•Pascal’s triangle help to determine all coefficients of a binomial expansion. Where a, b ∈ R, and exponent n ∈ N
Start with number “1” at the top, then continue placing numbers below by the sum of two consecutive numbers on the same row.
4
Pascal's Triangle
•Pascal’s triangle help to determine all coefficients of a binomial expansion. Where a, b ∈ R, and exponent n ∈ N
Start with number “1” at the top, then continue placing numbers below by the sum of two consecutive numbers on the same row.
5
6
7
8
9
10
Expand (x - 2)3
11
Expand (x - 2)3
1x3(-2)0 + 3x2(-2)1 + 3x1(-2)2 + 1x0(-2)3
1x3 + 3x2(-2) + 3x1(4) + 1x0(-8)
x3 - 6x2 + 12x - 8
12
13
14
Math Response
Expand each expression:
(x+2)3
15
Math Response
Expand each expression:
(x−4)5
16
Math Response
Expand each expression:
(3x+1)4
17
18
Math Response
Expand each expression:
(3a−b)3
19
Multiple Choice
Expand
(3n+1)4
81n4+108n3+54n2+12n+1
81n4−27n3+9n2−3n+1
12n4+9n3+6n2+3n+1
81n4+27n3+9n2+3n+1
Binomial Expansion L1
By Henry Phan
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