Your progress has been saved < Question 6 of 15 > Suppose the polynomial f (x)...
Your progress has been saved < Question 8 of 15 > Suppose the polynomial f(x) has the following end behavior: as x → 00.f(x) → -00, and as x →-00, f(x)-00 Which of the following polynomials could represent f(x)? There may be more than one correct answer. Select all correct answers. 2x4 – x3 - x2-x-1 0-2x3 + 16x 0-5x + 10x - 3x2 + 9 |--22
Your progress has been saved < Question 3 of 20 Which statement correctly describes the end behavior of f(x) = -9x4 + 3x3 + 3x2 – 1? As x 0,f(x) = -00, and as x → -00,f(x) — -0. As x → 00,f(x) → 00, and as x →-00,f(x) +-0. As x → 00.f(x) → -00, and as x → -00,f(x) → 00. As x → 00.f(x) → 00, and as x → -0.f(x) → ..
Your progress has been saved < Question 3 of 15 If you use synthetic division to divide 2x3 – 3x2 + 1 by x – 1, what are the coefficients and constant of the result? Enter your answer as a list of integers separated by commas. For example, if the polynomial is 42x4 - 53x? + 64x2 + 75, enter your answer like this: 42,-53, 64, 0, 75.
Suppose the polynomial f (x) has the following end behavior: as x approaches infinity, f(x) approaches infinity, and as x approaches negative infinity, f (x) approaches negative infinity. Which of the following polynomials could represent f(x)? There may be more than one correct answer. Select all correct answers. 0-23 0-2x3 - #3 - 4x 7x5 + 4x2 0x2 + x - 3 Ox+8 x3 + 10x2 – 5x + 5
Your progress has been saved < Question 15 of 15 Submit What are the coefficients and constant of the polynomial 5x3 + 3 + 2x5 – x when rewritten in descending order, using a coefficient or constant of 0 for any missing terms? Enter your answer as a list of integers separated by commas. For example, if the polynomial is 42x4 - 53x3 + 64x2 + 75, enter your answer like this: 42, -53, 64, 0, 75.
Your progress has been saved < Question 3 of 20 > -x+3x3 –3x2 +20 Nicolette used synthetic division to simplify the rational expression Here is Nicolette's work: x-2 21-10 3 -3 0 20 -2 -4 -2 -10 -20 -1 -2 -1 -5 -10 10 In the quotient, what is the coefficient of x? Enter your answer as an integer, like this: -42
Saving... < Question 17 of 20 > Which polynomial(s) could have the following end behavior: as x 700,f(x) → 00, and as x + -00, f(x) 00? There may be more than one correct answer. Select all correct answers. Oax3 + bx2 + c | -ax" + bx2 + cx Оах axt - bx3 - cx? - dx + e Оах ax? - b
Find the Taylor polynomial of order 3 centered at 0. f(x) = com 6-X pg(x) = - * x4 x2 36 + + x3 216 x2 216 + х 36 + + P3(x) = 5 P3(x) = 1296 x3 1296 x4 1296 x2 + 6 36 x3 216 x2 216 P3(x) = х 1 6 + x3 1296 36 Find the quadratic approximation of fat x = 0. f(x) = sin In(2x + 1) P2(x) = 2x + 2x2 p2(x)...
Determine an equation for the polynomial function in factored form that has the following characteristics. • The degree is 3 • There is a zero at x = 4 . f(x) —- as X → +0 Of(x) = -2x3(x +4) Of(x) = – 2x2(x +4) Of(x) = 2x3(x + 4) Of(x) = - 2x}(x – 4) Of(x) = - 3x2(x – 4)
Question 3 Create a polynomial which has the following zeros: x = -2,4,7. Explain the behavior of your polynomial as x++ and as x .00. If necessary, plot the polynomial in order to validate your answers. Question 4 Describe the end behavior of the function below by stating whether f(x) as x- 00 f(x) = -26 Question 5 Describe the end behavior of the function below by stating whether f(x) - coas x- 00 f(x) = 5x3 + 8.07