1. Find the coefficients of the following a) a^4 b^9 in (a^2 + b^3 )^5 (b) x^4y^6 z ^2 in (x^2 + 2y^3 + 4z^4 ) (c) x^5 in (x + 2)^11 (d) xy^2 z^3 in (x + y + z)^6 (e) x^7y^10 in (3x + 2y)^17

Q: (6t ^ 3 + 5t ^ 2 - 2t + 1) / (3t + 1) divide polynomials using synthetic division

A: Our Aim is to divide the polynomial (6t3+5t2-2t+1)/ (3t+1) using Synthetic Division.

Q: Problem 1 YA Select all 15 points where 10 D F relative E A C minimum -10 8 /6 -4 -2 -5 2 4 6 18…

A: Given that:

Q: (a) Determine the missing values in the divided difference table provided below. xo = ? ƒ[x] = 1 x₁…

A:

Q: Enter the zeros of each polynomial together with the zeros of the first derivative. a) y=x² - 4 b)…

A: Given: a. y=x2-4b. y=x2+8x+15c. y=x3-3x2+4=(x+1)(x-2)2 d. y=x3-33x2+216x We are required to find:…

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Q: Factor 8x^3y^2-16x^2y^4   EXACTLY like the example attached.

A:

Q: Construct the Lagrange interpolating polynomial L3(x) = yolo(x) + yılı(x) + yzl2(x) + yzl3(x), for…

A: Legranges interpolation

Q: b) p(x) = x* – x³ – 6x² %3D y-axis 4+ 3+ 1-- X-axas 1 3. 4. -1 -1 -2 -2 -3 -4.

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Q: What is the coefficient of the term x^3y^2 expansion of (3x - y2)4?

A:

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Q: evaluate the integrel of (4+r)^3 dr

A:

Q: 15-24 - Long Division of Polynomials remainder using long division. Find the quotient and x³ + 2x?…

A: Given,          x6+x4+x2+1x2+1

Q: What is the result of this Lambda expression? (λ(x) 4 * 2x + 3x)  (2)

A: The lambda expression (λ(x) 4 * 2x + 3x) defines a function that takes a single argument ` x ` and…