Binomial Theorem, Polynomials and Distribution Problems - Examples | MATH 180, Study notes, Exams of Mathematics

Binomial Theorem, Polynomials and Distribution Problems - Examples | MATH 180, Study notes of Mathematics

Typology: Exams

2024/2025

Available from 11/13/2025

cecil27
cecil27 🇺🇸

1.6K documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Binomial Theorem, Polynomials
and Distribution Problems -
Examples | MATH 180, Study
notes of Mathematics
How many terms are in the binomial expansion of (2x + 3)5?
4
5
6
7 - correct answerC.) 6
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube? -
correct answerA.) 64x6 + 144x4 + 108x2 + 27
What is the coefficient of the last term in the binomial expansion of (x + 1)9?
0
1
9
10 - correct answerB.) 1
What is the coefficient of the third term in the binomial expansion of (a + b)6?
1
15
20
90 - correct answerB. 15
What is the coefficient of the x4-term in the binomial expansion of (x + 3)12? - correct
answerD.) 12C8(3)8
What is the coefficient of the x5y5-term in the binomial expansion of (2x - 3y)10? -
correct answerB.) 10C5(2)5(-3)5
What is the second term in the binomial expansion of (2r - 3s)12? - correct answerA.) -
73,728r11s
Which expression represents the fourth term in the binomial expansion of (e + 2f)10?
10C3(e7)(2f)3
10C3(e7)(f)3
10C4(e6)(2f)4
pf2

Partial preview of the text

Download Binomial Theorem, Polynomials and Distribution Problems - Examples | MATH 180, Study notes and more Exams Mathematics in PDF only on Docsity!

Binomial Theorem, Polynomials

and Distribution Problems -

Examples | MATH 180, Study

notes of Mathematics

How many terms are in the binomial expansion of (2x + 3)5? 4 5 6 7 - correct answerC.) 6 The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube? - correct answerA.) 64x6 + 144x4 + 108x2 + 27 What is the coefficient of the last term in the binomial expansion of (x + 1)9? 0 1 9 10 - correct answerB.) 1 What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90 - correct answerB. 15 What is the coefficient of the x4-term in the binomial expansion of (x + 3)12? - correct answerD.) 12C8(3) What is the coefficient of the x5y5-term in the binomial expansion of (2x - 3y)10? - correct answerB.) 10C5(2)5(-3) What is the second term in the binomial expansion of (2r - 3s)12? - correct answerA.) - 73,728r11s Which expression represents the fourth term in the binomial expansion of (e + 2f)10? 10C3(e7)(2f) 10C3(e7)(f) 10C4(e6)(2f)

10C4(e6)(f)4 - correct answerA.) 10C3(e7)(2f) Which statement about the binomial expansion of (x2 - x)9 is true? - correct answerD.) The last term is -x9. Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true? - correct answerThe values of nC0 and nCn are equal to 1.