Pre Calculus

posted by .

How are the factors of a polynomial related to the x-intercepts of a polynomial? How do you find the x-intercepts given the factors?

  • Pre Calculus -

    You have to factor the polynomial. If for instance you get (x-3)(x+2), then your x intercepts are where you take each to equal 0. (x-3)= 0 so x = 3; and (x+2) = 0 so x = -2. The x intercepts are the opposite sign of the values of the constants in each binomial.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra -polynomial

    Solve the polynomial 40x^2+2x-65 Notice that for x = 1 the value is -23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal …
  2. Math

    Given a polynomial and one of its factors, find the remaining factors of the polynomial. Some of the factors may not be binomials. 169x^3-1690x^2-9x+90; x-10
  3. PreCalculus

    I'm trying to find the x-intercepts of a polynomial function = 4x^4-3x^3-6x^2+2x+6. I don't want anyone to solve it, could someone please just tell me how to start factoring this so I can find the x-intercepts, I'm lost.
  4. precalculus

    Determine the x-intercepts of the polynomial function y=-6(x+7)^4 + 5. Round to two decimal places, if necessary. y=-6(x+7)^4 + 5 0=-6(x+7)^4 + 5 -5=6(x+7)^4 -5/6 =(x+7)^4 There are no x-intercepts?
  5. calculus

    polynomial equation with intercepts (-3/2,0) (1,0) (5/2,0) (0,4/3)
  6. calculus

    polynomial equation with intercepts (-3/2,0) (1,0) (5/2,0) (0,4/3)
  7. Math

    How many x-intercepts and how many local extrema does the polynomial P(x)= x(sqrt)3-4x have?
  8. math

    The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of …
  9. Math

    If a 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?
  10. Math

    Sketch the graph of the following polynomial. (Label all x intercepts, y intercepts, maxima, minima, and identify the range and domain.) f(x)= 1/2( x^2-2x+15)

More Similar Questions