Question

In: Math

For the function f(x)=x^4-3x^3+x^2+4x+21 Use long division to determine whether x+3 is a factor of f(x)....

For the function

f(x)=x^4-3x^3+x^2+4x+21

Use long division to determine whether x+3 is a factor of f(x). Is x+3 a factor of f(x)?

Solutions

Expert Solution

Solution :

milcah answered 1 year ago

Next > < Previous

Related Solutions

1. You are given the function f(x) = 3x^4 + 4x^3 a) Find the x and...

1. You are given the function f(x) = 3x^4 + 4x^3 a) Find the x and y- intercepts. b) Find the critical number(s) of f. c) Find the interval(s) of increase and decrease of f. d) Find the relative maximum and minimum value(s) of f. e) Find the hypercritical number(s) of f. f) Find the interval(s) of upward and downward concavity of f. g) Find the point(s) of inflection of f. h) Sketch the graph of f. 2. You are...

Consider the function f(x) = x 4 − 4x 2 . Determine the following: • The...

Consider the function f(x) = x 4 − 4x 2 . Determine the following: • The (x,y) coordinate pairs of the local minima and local maxima. • The (x,y) coordinate pair of the absolute minimum and absolute maximum, should they exist. If the absolute min/max is obtained at multiple points, list all of them. • The intervals of increasing and decreasing. • The intervals of concavity. That is, explain exactly where this function is convex and exactly where this function...

Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3...

Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3 + 10x^2 + 16x − 11 over Q (b) f(x) = 7x^ 4 − 9x^ 2 + 6 over Q (c) f(x) = x^3 − x + 1 over Q (d) f(x) = x ^4 + 2x ^2 + 2 over Q (e) f(x) = x^ 4 + 2x^ 2 + 2 over C (f) f(x) = x ^4 + 2x^ 2 + 2...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which f is increasing/decreasing and identify any local extrema. (b) Find the intervals on which f is concave up/down and find any inflection points. B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in...

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in interval notation. -Locate all hole(s), if any, and write them in the form of coordinate pairs. -Locate all vertical asymptote(s), if any, and give their equations in the form x = c. For each one, describe what happens to f(x) as x approaches c from the left(-), and as x approaches c from the right (+). -Locate the horizontal/slant asymptote, if any, and give...

Divide using synthetic division. (2x^2-8x-4x^3+x^4)\(4+x)

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

use the given zero to find the remaining zeros of each polynomial function 23. f(x)=x^3-4x^2+4x-16; zero;...

use the given zero to find the remaining zeros of each polynomial function 23. f(x)=x^3-4x^2+4x-16; zero; 2i 27. x^4-9x^3+21x^2+21x-130; zero: 3-2i Find the complex zeroes of each polynomial function. Write f in factored form. 35. f(x)=x^4+5x^2+4 I tried using Descarte's rule for questions 23 and 27, but I don't what to do after that. Also, after you explain the steps I need to solve the question, could you help understand why these steps are necessary?

Use the function below to answer parts a-k. f(x)=x^3-5x^2+3x+9 a. Is the function algebraic or exponential?...

Use the function below to answer parts a-k. f(x)=x^3-5x^2+3x+9 a. Is the function algebraic or exponential? b. Find the domain of the function. c. Find the interval where the function is continuous. If the function is discontinuous at a value, specify the first continuity condition that is not satisfied. d. What is/are the x-intercepts? e. What is the y-intercept? f. Find all of its critical values stating if they are absolute/relative max or min. g. What are the hypercritical values?...

Subjects