b. Find the MacLaurin polynomial of degree n for f(x) = x+1

Find the nth Maclaurin polynomial for the function. f(x) : Зх — 4 x + 1 n = 4 P4(x) :

a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1 f(x) = 1 --, a = 1; approximate 1.08

a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x) = 8x³/2, a = 1; approximate 8(1.73/2) a. p₁(x) = b. p₂(x) = c. Using the linear approximating polynomial to estimate, 8 (1.73/2) is approximately (Simplify your answer.) Using the quadratic approximating polynomial to estimate, 8(1.73/2) is approximately. (Simplify your answer.)

Suppose f (x) = p(x)/q(x) , where p and q are polynomial functions with no common zeros. For what value(s) of x is f (x) undefined?

Find the following values for the given polynomial Function. (a)f(0)       (b)f(5)        (c)f(-2)   f(x)=x2-9x-2

Consider f (x) = 2x* – x3 – 5x2 + 2x + 2. 1. List all possible zeros (candidates) for f(x). 2. Define f (x) in your calculator or desmos. Use the graph to narrow down your candidates. Use synthetic division to reduce f (x) to a quadratic expression. Factor the resulting quadratic expression to find the last two zeros. ZEROS: 3. Express f(x) as a product of linear factors. Don't forget to include the value of a!

#2: Completely factor the following polynomial functions. a) f(x) = x' – 4x² – 1 1x + 30

Determine the degree of each of the following polynomial functions. a. f(x) = 1+ x + x² + x³ Degree of f: b. g(x) = x8 – 272 Degree of g: c. h(x) = x³ + 2x' + 1 Degree of h: d. j(x) x2 – 16 Degree of j: Submit