Thank you Use the expression 3x4 x3 29x2 x 24 to List al

Use the expression 3x^4 - x^3 - 29x^2 + x - 24 to: List all of the possible zeros of the polynomial Write the polynomial as the product of a linear

Solution

Given polynomial is

3x^4 – x^3 – 29x^2 + x – 24 = 0

3 *(x +3.095) *(x -3.376) *(x^2 -0.052*x +0.766) = 0

3 *(x +3.095) *(x -3.376) *(x +(-0.026+i*0.875)) *(x +(-0.026-i*0.875)) = 0

Real roots:
Root 1:    -3.095
Root 2:    3.376
Complex roots:
Root 3:   0.026 - i*0.875
Root 4:   0.026 + i*0.875