Question

given that x minus root 5 is a factor of the polynomial x cube minus 3 root 5 x square - 5 x + 15 root 5 find all the zeros of polynomial​

Answer 1

Answer:

Step-by-step explanation:

First let us divide x³-3√5x² - 5x + 15√5 by x-√5

The quotient is x² - 2√5x - 15

x² + √5x - 3√5x - 15

x ( x + √5)  - 3√5 ( x + √5)

x- 3√5 = 0         x+ √5= 0

x = 3√5, -√5

Answer 2

Answer:

First let us divide x³-3√5x² - 5x + 15√5 by x-√5

The quotient is x² - 2√5x - 15

x² + √5x - 3√5x - 15

x ( x + √5)  - 3√5 ( x + √5)

x- 3√5 = 0         x+ √5= 0

x = 3√5, -√5