Question

(50 POINTS! HELP!)

Answer 1

Answer:

The roots of the given equation is x=4,3i,-3i

Step-by-step explanation:

The given cubic equation is

$y=x^3-4x^2+9x-36$

To find the roots we have to equate the equation to zero

ie, $x^3-4x^2+9x-36=0$

It can be done by using Synthetic division method

Therfore [tex](x-1) is not a factor or root

now put x=-1

Therfore [tex](x-1) is not a factor or root

similarly let x=2,-2,3,-3 all not equal to zero so the are not roots.

let x-4 is a factor of given equation

then it satifies the equation ie (x-4) is a root

And it may be written as

[tex](x-4)(x^2+9)