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,...

See similar textbooks

Related questions

Q: Multiply the following binomials using the method indicated. (Simplify your answers completely.) (y…

A: Topic -multiplication of binomials hy different methods

Q: The main focus of this article is to discuss some qualitative behavior of the solutions of the…

A: The equation given to us is as follows: y1-P=AQ+α1+α3+α5P+α2+α4Qβ1+β3+β5P+β2+β4Q-P When the RHS is…

Q: What is the coefficient of the term that involves 7 in the expansion of (x + 2y)0? O 840 1,680 960…

Q: Expand the expression by using Pascal's triangle : (2x+4y)^7

Q: Consider the expansion of x² 10 3

A: Suppose we have binomial expression . Then its expression is as ; The general…

Q: Determine if the Sóllowing justi fy by egprvelent: 1. Ore showng work. and ムx-2 2

A: Given: 12x2 - 4x / 2 and 6x - 2

Q: Which binomials are correct for the roots 7 and -2? F oudy O (x-7)(x-2) O (x + 7)(x-2) O (x+7)(x+2)…

A: The given roots are 7 and -2.

Q: Write the expression in terms of In x and In (x - 5). x² (x-5)4 In In (x-5)4 ||

Q: For 3 and 4 find a.) the GCF and b.) the LCM of each pair of expressions 3.) 108 and 198. 4.) 8x^5…

A: factor of 108=2x2x3x3x3 factor of 198=2x3x3x11 common factor are 2x3x3 therefore GCF is 18 LCM=…

Q: EXAMPLE 2 Multiplying Binomials Using FOIL (2x + 1)(3x - 5) = 6x? – 10x + 3x – 5 Distributive…

A: There is also a special method, useful only for a…

Q: (2x³ 3y) Drag an expression or value into each box to correctly complete the statements. How can you…

Q: 132 dr 24 4x 32 Determine the numerical values of the coeffidents, A and 8, where A<B. A denominator…

A: use partial fraction to evaluate it.

Q: Show that 2 x ²dx (x²+1)²(x²2x+2) S 81 Z 775 50

A: FORMULAS:1.If f(x)=p(x)q(x) and degree of q(x) is greater than p(x) by atleast 2 and q(x) have only…

Q: 4 a) (x² + b) (- x*)*

Q: Use pascal's triangle to expand and write the simplified form of (3x + 1)4 and determine the…

A: The given expression is 3x+14. We need to expand the given expression using pascal's triangle and…

Q: (a) Convert the following general expressions to standard SOP form: ABC…

A: given general expression is ABC+(A+B)(B+C+AB)

Q: Expand the following binomials and simplify. a. (2x+ y)" b. (r? +3)* c. Gx+ 3y)*

Q: 2. Use exponent Laws to show whether each expression is true or false. DO NOT CALCULATE to…

A: a. 3632÷3612=36323612 =3632-12 aman=am-n =363-12 =36…

Q: Write the expansion of the expression. #1) (x + 2)^4 # 2 ) (y -2) ^4 #3 ) (2X - Y)^5…

Q: Simply the following. If the expression yields a non-real result, type NOT REAL a) (9n -9) - b) ( –…

Q: Step 2: Divide each numerator and denominator by the common factor which is x + 5. (x+5)(x-5)…

A: You need to find out the common factor in both numerator and denominator. After that cancel out…

Q: Pam is a Disc Jockey. Every week she buys 3 new albums to keep her collection current. She currently…

Q: Multiply A321 -1 10 -7 0 Show your your work!

Q: 1. Identify the rule that justifies each step to simpl the expression. 2* (-4') a. = 24 (-4) %3D

A: Since we are given with multiple number of question with multiple subparts and our guideline is…

Q: Find the term that does not contain x in the expansion of (12x − 3)³.

Q: 21 In the expansion of (x +y), write the value of the exponent k in the term that containsr2k--4,,3k

A: In the expansion x+y21, we have to write the value of the exponent k in the term that contains…

Q: 24 (a) Find the multiplicative inverse of 24 in Z25. (b) Find the multiplicative inverse of 26 in…

Q: 3[2+4(5+2*3)]

Q: Let M = Find formulas for the entries of M", where n is a positive integer. Hint: a formula such as…

Q: 6 - 2(3x + 5) + 7x

A: simplify 6-2(3x+5)+7x

Q: I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

A: We have, 3-6x+51+7x-4

Q: Use Pascal's Triangle to expand (1+x2)5. Express your answer in simplest form.

Q: 22) Create an expression that can be used to find Zg in terms of Zd.

A: There are so many ways to create expression for angle g but final expression will be same for all…

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Binomial Expansion$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Show me the steps of determine blue and inf is here. Explain step by step and i need every details.
Hey. I can not seem to figure this question out on my assignment. Any help would be appreciated
Considering that a0(1/2) = 1; a1(1/2) = -3/7, determine the product form (capital pi expression) of the expression below:
Please answer it in easy way : What is the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 ?
Q16B. Convert the base 10 number to its hexadecimal equivalent. Express your answer in expanded form. 832 Input your answer, modeled exactly after this example format: 8*(16)^2 + 12*(16)^1 + 1*(16)^0
True or fulse
(8.3 x 10*)x (8 x106) Scientific Notation: Standard Form:
EVALUATE THE FOLLOWING EXPRESSIONS USING SPECIAL PRODUCT 1. ( 2x* 5y6 )3
I need help with this math problem I'm struggling with plz
Define a language of polynomials recursively. Give derivation for 5x²+7x.
The conjugate of the binomial a +b is _______.