(17)10 = (?)5 • Using repeated division:

Q: 6.When 2x3+x2-2kx+b is divisible by x – 1, the remainder is –4, and when it is divided   by x + 2,…

A: Find Your Solution Below

Q: Under what special condition can the synthetic division method be used? Create your own example of…

A:

Q: 1. Factor 8 out of 8. -X- 8 8.

A: Given,            18x - 58

Q: 1. Which of the following correctly sets up the synthetic division for x - 4x? - 3 divided by x+ 1?…

A:

Q: 2. Find the root using Regula-Falsi Method a) x* - x - 10 = 0 Ans. x = -1.697 and 1.855

A: Follow the procedure given below.

Q: III. Divide by synthetic division 1. (3x3 - 17х? + 15х - 25) + (х - Б) 2. (9х3 -16х — 18х? + 32) +…

A:

Q: In the expansion of (2x+5)4(2x+5)4, find the coefficient of x3x3. Select one: 16 600 not in the…

A: Consider the following binomial expansion:…

Q: What is the last term in the expansion (2xy z+3x²y)4?

A: Consider the provided expression, 2xy2z3+3x2y4 Write the last term of the expression. Apply the…

Q: What is the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 ?

A: We need to find the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 .

Q: What are the errors in the division promblem below?

A: Given that 25÷89. The above problem should have solved as follows. 25÷89=25×98=215×984=920

Q: 5. P(x) = x-x-19x2 + 49x-30 %3D

A:

Q: 2.269910988417 x 10^23 so what will i use to bring it down to under 100 ? how to divide it ?

A: so to bring it down 100 we just divide it by number x we now have to find the value of x

Q: 3.8 (a) Evaluate the polynomial y = x' – 7x2 + 8x – 0.35 - - at x = 1.37. Use 3-digit arithmetic…

A: Since you have asked multiple part of the question, we will solve the first part of the question for…

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: Find the coefficient of x²y in the expansion of (-4x + y)°. Give your answer as an integer.

A:

Q: In the expansion of (2x+1)n , the coefficient of the x2 term is 40n , where n is a positive integer.…

A: Given (2x+1)^n The solution is given below in the next step

Q: N(x) = x² - 2x 5 N(X)=x²-2x-5 N of N

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: Find the 3rd term in the expansion of (x-3)^7

A:

Q: 6. Find the remainder of 17036543 on division by 25.

A: Thus, remainder = 2

Q: Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.

A: The given expression is x2+y25 To find the term containing x4 as the factor

Q: 5 find the quotient i15-as a" by long division meth od 1-a

A:

Q: 1. Find the remainder when P(x) = 5x³ + x + 5 is divided by x + 3. 2. Find the remainder when P(x) =…

A: .

Q: Simplify the ratio of factorials. (8n - 1)! (8n + 1)!

A: Given            8n-1!8n+1!

Q: What is the coefficient of the term containing x^4 in the expansion (x - (2/x^2)^10?

A:

Q: (xt - 4y)" 12

A: Let's find middle term of given function.

Q: (b) Show that factorial polynomial corresponding to P,- k³ – 4k* + 2k³ – k² + k + 10 is P, = k(5) +…

A: Given: The given polynomials is Pk=k5-4k4+2k3-k2+k+10, To prove Pk=k5+11k4-k3-9k2-k1+10

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: 1. Arrange the terms of the dividend in descending powers x-3 ) 2x-3xe -x+ 4

A:

Q: Show that we can easily factor n when we know that n is the product of two primes, p and q, and we…

A:

Q: 8. Use partial fractions (after first doing polynomial division) to evaluate 4x³ + 18x² + 9x+11 dx…

A:

Q: 6 What is the smallest integer that makes the difference (3 X- 2greater than 1? Use estimation to…

A:

Q: Lawrence will divide an 8th degree polynomial in x by (x – 10) using synthetic division. How many…

A:

Q: 1) Express the polynomial x + 2x? – 5x + 2 in a series of Laguerre polynomials.

A:

Q: Find the coefficient of x6 in the expansion of (2x-3)9

A:

Q: in the expansion of (x^2-(1/2x))^5 ) what is the coefficient of x^4?

A: Given that  (x2-12x)5 Apply binomial theorem:a+bn=∑i=0nnian-ibiHere,a=x2,  b=-12x ∑i=055ix25-i-12xi

Q: 5. What is the remainder after 2x^3 +5x^2 -4x + 9 is divided by ( x + 4 ) * O 201

A: Remainder is the part of something that is left over when some other parts are completed. In…

Q: What is the coefficient of x12y13 in the expansion of (2x+3y)25?

A:

Q: 5. Consider the following division: (2,3 – 4x² + x – 2) ÷ (x – 2) 5a Fill in the gaps to complete…

A:

Q: 6. Find the root using Regula-Falsi Method a) x* -x- 10 = 0 Ans. x = -1.697 and 1.855

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: 8. Which of the following correctly sets up the synthetic division for x* + 2x - 8x + 11 divided by…

A:

Q: 1) Express the polynomial x + 2x2 - 5x + 2 in a series of Laguerre polynomials.

A:

Q: What is the least coefficient in the expansion of (x -1)7?

A: Use Pascal's Triangles to find least coefficient in the expansion of (x -1)7

Q: What is the coefficient of z^4 in the expansion of(z^3+3z+1)^5?

A:

Q: 1. What is the coefficient of x7 is the expansion of (2x°+20 ? [if the answer has a form like…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems. ** Though it…

Q: How many terms will be in the expansion of (2x+3y)^6?

A: How many terms will be in the expansion of (2x+3y)^6?   Use the binomial expansion theorem to find…

Q: 5 Let flx) -5X+3Xh emd gx) = 3X+2X+) in 7[x].Determine the quotient ane remainder upon dividing #00…

A:

Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 8x − 0.2x2…

A: The average pollen count in a certain city on day x of the pollen season is  Differentiating with…

Q: 4. Find the value of k for which x-3 is a factor of f(x) = 4x3 + 6x2 -9x + 2k. Hence, find the…

A: Remainder Theorem :      If f(x) is divided by x-a then remainder is f(a).

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.