24. Binomial Multiplication Patterns in Pascal's Trianglea.) What is (x+1)°? (Hint: anything to the 0 power isb.) What is (x+1)'?c.) What is (x+1)²? Caution: it is not x2+12, but is gotten by multiplying (x + 1)(x + 1).d.) Where can the coefficients and constants of each answer be found in Pascal'striangle? The coefficient is the number in front of x, and the constant is the added onnumber. For x + 1, the coefficient in front of the x is a 1, so we have 1x + 1.Where do you see 1 1 in the triangle?Where do you see the coefficients andconstants for your answer to part c?41101016 I 15 I 20 I 157 I 21 I 3556 I 70 I 56 I 2836 I 84 1126 | 126 I 84 I 36161135 I 21 I 71828819e.) What is (x+1)³? Hint: multiply the result of part c by (x+1), then combine like terms.Explain how you know you are correct using Pascal's triangle.f.) Make a conjecture as to what (x+1)4 will equal, using Pascal's triangle. You do nothave to multiply it all out to check, but instead, say how you know you arecorrect using Pascal's triangle.

Answered: Image /qna-images/answer/f0f7b39f-1106-4391-b034-25f8542a1595.jpg

24. Binomial Multiplication Patterns in Pascal's Triangle a.) What is (x+1)°? (Hint: anything to the 0 power is b.) What is (x+1)'? c.) What is (x+1)*? Caution: it is not x²+1?, but is gotten by multiplying (x + 1)(x + 1).

24. Binomial Multiplication Patterns in Pascal's Triangle a.) What is (x+1)°? (Hint: anything to the 0 power is b.) What is (x+1)'? c.) What is (x+1)*? Caution: it is not x²+1?, but is gotten by multiplying (x + 1)(x + 1).

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

24. Binomial Multiplication Patterns in Pascal's Triangle
a.) What is (x+1)°? (Hint: anything to the 0 power is
b.) What is (x+1)'?
c.) What is (x+1)²? Caution: it is not x2+12, but is gotten by multiplying (x + 1)(x + 1).
d.) Where can the coefficients and constants of each answer be found in Pascal's
triangle? The coefficient is the number in front of x, and the constant is the added on
number. For x + 1, the coefficient in front of the x is a 1, so we have 1x + 1.
Where do you see 1 1 in the triangle?
Where do you see the coefficients and
constants for your answer to part c?
4
1
10
10
1
6 I 15 I 20 I 15
7 I 21 I 35
56 I 70 I 56 I 28
36 I 84 1126 | 126 I 84 I 36
1
6
1
1
35 I 21 I 7
1
8
28
8
1
9
e.) What is (x+1)³? Hint: multiply the result of part c by (x+1), then combine like terms.
Explain how you know you are correct using Pascal's triangle.
f.) Make a conjecture as to what (x+1)4 will equal, using Pascal's triangle. You do not
have to multiply it all out to check, but instead, say how you know you are
correct using Pascal's triangle.

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