Question

find all the zeroes of the polynomial x4 +x3-34x2 - 4x + 120​

Answer 1

Answer:

2 , -2 , -6 , 5

Step-by-step explanation:

i think you mean  x^{4} + x^{3} - 34x^{2}  -4x + 120 = 0

by observation we see that 2 is a root of the equation. { we need to check just for -3 , -2 , -1 , 0 , 1 , 2, 3 }

take x - 2 outside

we get

(x-2)(x³ + 3x^{2} - 28x -40) = 0

observe second one. see that -2 is factor

take x+2 outside

we get

(x-2)(x+2)(x+6)(x-5) = 0

so all the roots or "zeroes" are 2 , -2 , -6 , 5