Aharon and Yarden each found the result of dividing x + 2x2 – 3x + 4...
Long Division - can be used when dividing any polynomials. Synthetic Division - can ONLY be used when dividing a polynomial 3)soane by a linear (degree one) polynomial. 2x + 3x2 - 6x +10 EX: +3 Long Division 2x + 3x2 - 6x +10 X + 3 Synthetic Division 2x + 3x2 - 6x +10 X+ 3 = x+3) * +3 2 2x - 3x+3+ 2x+3r- 6x +10 (-) (2x + 6x?) - 3x² - 6x (-) (-3r- 9x) 3...
Use synthetic division to find the quotient. 28. (3x3 – 2x2 + x - 4) = (x + 3)
4) Divide (x5 + 2x3 - 3x - 1) by (x+3) using synthetic division. Show all work!
63 only Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
For this project, you're going to contrast two different methods for dividing polynomials. Click on the buttons below to learn about each method. Dividing Using The Grid Method Dividing Using Long Division First, become familiar with both methods. Then write at least three sentences contrasting the methods (not the problems they used). How are they different? Second, write three to five complete sentences about which method you prefer, and why. Both sets of sentences must be complete and I'll be...
3) Find the difference quotient of f(x)-2x2 + 3x + 4. That is, find f(x+h)-f(x) where h 0
A polynomial p(x) is an expression in variable x which is in the form axn + bxn-1 + …. + jx + k, where a, b, …, j, k are real numbers, and n is a non-negative integer. n is called the degree of polynomial. Every term in a polynomial consists of a coefficient and an exponent. For example, for the first term axn, a is the coefficient and n is the exponent. This assignment is about representing and computing...
Find the vertex of the graph of this quadratic function 23) y = -2X2 - 8x - 3 A) (-2,5) B)(-2, -34) C) (2. -27) D) (-2,-27) Use the Leading Coefficient Test to determine the end behavior of the polynomial function. 24) f(x) = -6xx - 1)(x + 5)2 A) y asandy-as- B) yas and y Cy- as- andy asx - D) y asx and y- asx as- 25) f(x) = 5x3 - 4x3 - x5 A) y -as X...
32 , 42 332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises 5 g(x) 57. What are 58. What is th 59. Given an inputs. 60. Movie Tic movie tic years, risi (Source: ers). Usin function, Let xrерr Then use price of a Using synthetic division, determine whether the numbers are zeros of the polynomial function. 31. -3,2; f(x) = 3x + 5x2 - 6x + 18 (32. -4,2; f(x) = 3x + 11x? - 2x...
(2x - 1 if x < -1 2. Suppose f(x) = 2x2 - 4 if-1<x52 (log: (x - 1) if x > 2 a) Is f continuous at x = -1? Justify your answer completely. b) Is f continuous at x = 22 Justify your answer completely. 3. Suppose f(x) = x2 + 3x a) Using the definition of derivative, find f'(x). No credit will be given if shortcuts are used. b) Find the equation of the tangent line to...