SOLUTION: How do I find the 4 x- and single y-intercepts of this polynomial? {{{y=-x^4+13x^2-36}}} Thank you

Question 908219: How do I find the 4 x- and single y-intercepts of this polynomial?

Thank you
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

y-intercept(when x = 0) is -36 

x-intercepts: -3,-2,2,3 can be found with Synthetic Division noticing x=2 is one root

2  -1	0	13	0	-36

	-2	-4	18	36

   -1	-2	9	18	0

(x-2)(-x^3 -2x^2 +9x + 18)  Note: x = -2 root for -x^3 -2x^2 +9x + 18

-2  -1	-2	9	18	

	2	0	-18	

   -1	0	9	0

(x-2)(x+2)(-x^2 + 9)

((x-2)(x+2)(x-3)(x+3)

				

 

RELATED QUESTIONS

How do you find the x intercepts and y intercepts of the absolute Value... (answered by jim_thompson5910)
sketch y=-24+13x^2-x^4+14x-2x^3
 
i dont know how to graph it since its a negative... (answered by Alan3354)
How do I find x-intercepts of a quadratic equation?
Use the quadratic formula to find... (answered by Alan3354)
Find the roots (y intercepts) :
F(x) = 1/2X^2 - 4
How do I solve... (answered by Fombitz)
How do I find the x-intercepts for the graph of this equation?... (answered by Alan3354,JBarnum)
Please find the x- and y- intercepts of the equation

x+y=4

Thank... (answered by helpnalgebra)
Find the x intercepts of the graph y=x^2+5x-36

Thank... (answered by MathLover1)
how do you solve this system of equation:
x^2+y^2=36... (answered by fractalier)
How do you graph the following function:  y=-x^2 + 2x

How do I find x and y... (answered by jim_thompson5910)