PreCalculus

posted by .

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.

  • PreCalculus -

    Well, if you factor it, you have solved it.

    However, if you want just a hint, recall that if there are rational roots, the numerator must be a factor of 6, and the denominator must be a factor of 4

    So, start doing a little synthetic division, trying easy values first. Homework assignments are usually not *too* complicated.

    Hmmm. It seems I was wrong. There are no real roots at all.

    Factoring quartics is a complicated business. You sure there are no typos?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math,correction,plz

    Can someone who has a few minutes could you please correct this for me.thank you. Directions: Find the x-intercepts of y= x^2+x-6 My answer: there are two x-intercepts ( (1-sqrt25)/(2),0) and ((1+sqrt25)/(2),0 x^2+x-6= (x+3)(x-2) how …
  2. Math-precalc

    Is it possible to find a rational function that has x-intercepts (-2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0?
  3. Algebra I

    Did I do these probelms correctly? Find the intercepts 1. y^2 = x^2 - 4x y^2 = x(x - 4) Y intercepts y^2 = 0(0 - 4) (0,0) x intercepts 0 = x(x - 4) 0 = x - 4 4 = x (4,0) 2. y = (x (x + 3))/(3x + 1)^2 y intercetps y = (0(0 + 3))/(3(0)
  4. Pre-Calculus

    I want to learn how to find the domain, holes, x-intercepts, y- intercepts, vertical asymptotes, and horizontal asymptotes of a rational function. I know it is against the rules in jiskha to do the homework for the students but if …
  5. mth

    PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks. f(x)= x^3+2x^2-x-2 / x^2+x-6 find: 1. domain 2. symmetry or not 3. determine if f(x)is: a)in lowest trem b)proper/improper 4. x-intercepts, …
  6. math

    PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks. f(x)= x^3+2x^2-x-2 / x^2+x-6 find: 1. domain 2. symmetry or not 3. determine if f(x)is: a)in lowest trem b)proper/improper 4. x-intercepts, …
  7. Math - x-intercepts and y-intercepts

    Hi, can someone help me with intercepts. find the intercepts of f(x) = x^2 - 6x - 2 can someone show how to work this problem. thanks.
  8. 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?
  9. math

    the function f is defined: f(x)= x+3 if -2<=x<1 9 if x=1 -x+2 if x>1 a. find the domain b. locate the intercepts I am totally lost, can someone please help me with this?
  10. Algebra

    Hiya! I have a function here: y = x^2 - 4x - 32 I have some questions about it. 1. I think this parabola opens up. Am I correct?

More Similar Questions