math

1. Consider the function f(x) = x3 + 7x2 + 2x - 40 .
a. Find the possible rational roots of f(x) = 0.
b. Use synthetic division to divide f(x) by x - 2. Show all your work. Use your answer to explain whether or not x – 2 is a factor of f(x).
c. Factor f(x) completely. Show all your work.
d. Sketch the graph of f(x) by plotting the x-intercepts, finding and plotting additional points on the graph, and using what you know about the graph’s end behavior.

  1. 👍 0
  2. 👎 0
  3. 👁 208
  1. Why don't you start with b)
    You would see that the division is exact , thus x-2 is a factor
    Your synthetic division should have a result of x^2 + 9x + 20

    so it fully factors to (x-2)(x+5)(x+4)
    Once factored, the roots are simple to see.

    btw, the order of the questions is poorly presented,
    question a) and c) should be interchanged.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    solve the equation x³ − 7x² + 36 = 0 , given that one root is double the other

    asked by tabassum on January 22, 2016
  2. Functions - math

    The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a

    asked by Desperately seeking help on December 10, 2016
  3. Calculus. I need help!

    Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] Then find the derivative dy/dx. y=√sinx √ is square root.

    asked by danny on February 25, 2012
  4. Algebra2

    What transformations change the graph of (f)x to the graph of g(x)? f(x) = -7x² ; g(x) = -35x²+5

    asked by Steve on August 29, 2016
  1. MATH

    We now have d dx [x5 + y8] = 5x4 + 8y7y' = d dx [9] = 0. Rearranging this, we get 8y7y' = ?????????? ------------------------------------- A table of values for f, g, f ', and g' is given. x f(x) g(x) f '(x) g'(x) 1 3 2 4 6 2 1 8

    asked by Anonymous on October 6, 2014
  2. Math help :(

    1. 3w – 10w 13w –7w –7 7w 2. y + 2y +3z 2y + 3z 3y + 3z 2y2 + 3z 6yz 3. 6r + r – 5r 2r 1r + r 0r 7r – 5r 4. 5x + 2(x + 6) 7x + 6 7x2 + 12 7x + 12 7x (x + 6) 5. –3m + 3(m + 6) (1 point)6 –6m + 6 6m + 18 18

    asked by Princess Anna on December 18, 2013
  3. calculus

    Find equations for two lines through the origin that are tangent to the ellipse 7x2−168x+y2+62=0 please show me the steps :)

    asked by mehak on November 1, 2011
  4. calc 3

    Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 7x2 + 2y2 + 6z2 = 33 at the point (−1, 1, 2). (Enter your answer as a comma-separated list of equations.

    asked by chinne on September 24, 2014
  1. math

    Help?Simplify each expression.1. 3w – 10w a. 13w b. –7w c. –7 d. 7w 2. y + 1.2y +1.2z a. 2.4yz b. 1.3y + 1.2z c. 1.2y2 + 1.2z d. 2.2y + 1.2z 3. 6r + r – 5r a. 2r b. 1r + r c. 0r d. 7r – 5r 4. 5x + 2(x + 6) a. 7x + 6 b.

    asked by Anonymous on November 22, 2013
  2. Calc 1

    Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? y=? (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval

    asked by TayB on April 24, 2015
  3. Algebra Plz Ceck

    1.add or subtract. (4x²+15x-3)-(-3x²+5) A:7x²+15x-8*** B:x²+12x+2 C:x²+15x-8 D:7x²+8 2.Simplify the polynomial. -3f²+4f-3+8f²+7f+1 A:5f²-11f+2 B:11f²+11f+2 C:5f²+11f-2 D:-5f²+11f-2*** 3.Add or Subtract.

    asked by The Weekend on May 22, 2017
  4. Math22

    1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y= (g(x), f(u)) = 2. Write the composite function in the form f(g(x)). [Identify the inner function u =

    asked by Anonymous on October 7, 2014

You can view more similar questions or ask a new question.