Question

Find all zeros write polynomial as product of linear equation determine x-intercepts X^4+25x^2+144 would like process not just answer thanks

Answer 1

To find the zeroes of the expression, set the expression equal to zero, then solve for x:

x^4+25x^2+144 = 0
x^4+9x^2+16x^2+144 = 0
x^2(x^2+9)+16(x^2+9) =0
(x^2+9)(x^2+16) = 0

x^2+9 = 0
x^2+16 = 0

The solution will be complex:

x^2 = -9
x^2 = -16

x = +/-3i
x = +/-4i

Answer 2

Questions? Comments?

Answer 3

Thankk youu