How find find y and x intercepts for the function, x^5+x^2-4X^3-4?

Question

anguyennn · Answer

$$X ^{5}+X ^{2}-4X ^{3}-4$$

kva1992 · Answer

if im not mistaken your y int is -4 and for the x intercept id recommend graphing it. you should have 5 x intercepts and the reason your y int is -4 is because you set all the xs to zero

anguyennn · Answer

yes the y intercept is -4

anguyennn · Answer

but how do you get the x intercept algebraically

kva1992 · Answer

you would have to factor the equation and find all the solutions

anguyennn · Answer

how do you do that? please help!

kva1992 · Answer

http://www.purplemath.com/modules/solvpoly.htm

kva1992 · Answer

look at that pretty sure you would have to use synthetic division

anguyennn · Answer

is there another way to do it or no?

kva1992 · Answer

www.mathportal.org/calculators/solving-equations/polynomial-equation-solver.php?val1=x^5-4x^3plusx^2-4&val2=0&val3=%7Bx%7D^%7B5%7D-4%7Bx%7D^%7B3%7Dplus%7Bx%7D^%7B2%7D-4%3D

anguyennn · Answer

oh alright thank u!!

kva1992 · Answer

no problem

alekos · Answer

one of the x-intercepts is -1 so start of by dividing the polynomial by x+1

triciaal · Answer

|dw:1443679224748:dw|