Math

Can someone show me the steps for how to solve:

1.) f(x) = 4x^4 -3x^3 +2x^2 +x-3

2.) f(x) = x^3 - 2x^2 -5x +6

3.) f(x) = -3x^3 -2x^2 + x -1

Thank you so much :)

  1. 👍
  2. 👎
  3. 👁
  1. You only typed half the problem. Perhaps you are supposed to graph, not solve?

    1. 👍
    2. 👎
  2. sorry, i forgot to say the instructions said "find all possible rational roots"

    1. 👍
    2. 👎
  3. Result:

    The roots of the polynomial 4x4 - 3x3 + 2x2 + x - 3 are:

    X1 = 0.301 + 1.002*i

    X2 = 0.301 - 1.002*i

    X3 = 0.905

    X4 = -0.757

    1. 👍
    2. 👎
  4. That is from:

    http://www.mathportal.org/calculators/polynomials-solvers/polynomial-roots-calculator.php

    1. 👍
    2. 👎
  5. As you can see you really have to graph that polynomial to find the roots. If you have a graphing calculator, try that
    Notice that it only crosses the x axis twice and then has a complex pair for the third and fourth roots

    1. 👍
    2. 👎
  6. For the second one you can see that one is a root by inspection.
    Then you can divide by (x-1) to get a quadratic which you can solve.

    1. 👍
    2. 👎
  7. By the way if you tried all possible rational roots results on the first problem using factors of the first and last term 3 and 4 ( 3, 2, 4) you would have found that it has no rational factors by the rational root test.

    1. 👍
    2. 👎
  8. thank you so much for your help ! :)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    question 1. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality and describe the solution set. y–6≥12 question 2.Note: Enter your answer and show all

  2. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. Explain all steps and identify the properties used. n/-3 + 5 > 4

  3. algebra

    Solve the system of equations algebraically. Show all of your steps. y=x^2+2x **y=x^2+2x (2/2)^2=1 1=answer** y=3x+20 **y=3x+20 (3/2)^2=2.25 2.25=answer** am i right or wrong, if im wrong could someone show me the steps

  4. Algebra

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2 − 5 x + 4 and g ( x ) = 5 x 3 − 7 x + 4 . what is f ( x ) − g ( x ) ? Show all of your steps

  1. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality and describe the solution set. y – 6 ≥ 12

  2. Math

    Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the equation. c 4 − 5 = 4

  3. math

    Twenty-four less than three times x is equal to the product of five and x.Find x.solve show steps to solve

  4. math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A cylinder has diameter 34 m and height 27 m. A label at bottom states drawing not to scale. Find the volume of the cylinder.

  1. physics

    two point charges are 10.0 cm apart and have chargeso of 2.0 uC (micro)and -2 uC, respectively. What is the magnitude of the electric field at the midpoint between the two charges? i think the answr is zero.. but i don't

  2. Algebra

    Solve the system of equations using substitution. x + 4y = -5 3x - 8y = 45 When I tried to solve it, I got x=-17 and y=-3. When I plugged these into the first equation, it didn't work out at all. Could someone please show me the

  3. math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression 82+9(12÷3×2)−7 . Explain each of your steps.

  4. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provide. Using numbers and symbols, solve 7x = 42 Note: Enter your answer and show all the steps that you use to solve this problem in

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