Binomial Theorem and Expansions
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of the binomial theorem?
To simplify the multiplication of polynomials
To expand binomials raised to a power
To solve quadratic equations
To find the roots of polynomials
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Pascal's triangle, what is the sum of the numbers in the third row?
16
4
6
8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When expanding (2x - 3y)^3, what is the coefficient of the x^2y term?
54
-54
36
-36
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do the signs of the terms alternate in the expansion of (2x - 3y)^3?
Positive, negative, positive, negative
Negative, positive, negative, positive
All negative
All positive
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the third term in the expansion of (5x + 7y)^7?
21x^4y^3
21x^5y^2
35x^4y^3
35x^5y^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to find the coefficient of a specific term in a binomial expansion?
Combination formula
Permutation formula
Quadratic formula
Factorial formula
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the coefficient of x^3y^2 in the expansion of (x - 2y)^5?
10
40
20
30
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