math

The x-intercepts of a particular equation are x = p, q. Suggest a possible equation.

Quite confused on this question... Any idea? Thanks in advance.

  1. 👍
  2. 👎
  3. 👁
  1. if p and q are the x-intercepts, then they are the roots of f(x)=0
    That means that (x-p) and (x-q) divide f(x).
    So,
    f(x) = a(x-p)(x-q)
    where a can be any scale factor.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. quadratic functions

    The graph of a quadratic function can have 0, 1 or 2 x-intercepts. How can you predict the number of x-intercepts without drawing the graph or (completely) solving the related equation? Suppose that the graph of f(x) = ax^2+bx+c

  2. Math

    20. (4 points) Write an equation for a rational function whose graph has all of the indicated features. vertical asymptote with equation x 3 horizontal asymptote with equation y =2 hole at x= 1 no x-intercepts

  3. Mathematics

    Determine the equation of a quadratic function that satisfies each set of conditions. a) x-intercepts 1 and -1, y-intercept 3 b) x-intercept 3, and passing through the point (1, -2) c) x-intercepts -1/2 and 2, y-intercept 4 Please

  4. Algebra Quadratic Equations

    When a quadratic equation has one solution, there will be one x-intercept; when there are two solutions, there will be two x-intercepts and when the equation has no solution, the graph will have no x-intercepts",is there another

  1. algebra

    find the x and y intercepts and graph the equation plotting the intercepts 6x-7y=-42

  2. algebra 2

    Question: Write the equation of a cubic function that has the x-intercepts of -4, 2, and 5 and passes through the point (6,20) My Answer: y = .5x^3-1.5x^2-9x+20 What I did: Put the x-intercepts and given point into stat plot (on

  3. algebra

    Suppose that a quadratic equation had two x-intercepts. How could you use the intercepts to find the vertex?

  4. algebra

    -2x+5y=-15 Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.

  1. Math-due today, need a check

    Please help me with this, below is a question I have to answer…below that is my answer…did I do, or answer this correctly? Post a response of at least 50 words to the following: Explain how to graph linear equations using the

  2. Math - Equations of plane(check)

    Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the

  3. Algebra

    graph the equation x-3=y (where do I plot the points?) find the intercepts and then graph: 5x+4y=20 find the intercepts and then graph: 1.4x-1.3y=3.64 graph the equation using slope and y-intercept: y=10/7x +4 graph using slope

  4. Math

    •The x-intercepts of the graph of y=f(x) •The real zeros of the function f •The real solutions to the equation f(x)=0 Use the equation f(x)=4x−28 to verify that all three do produce answers that are numerically the same.

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