Question

find quadratic polynomial whose zeros are factor of 5​

Answer 1

x² - 6x +  5 is a quadratic polynomial whose zeros are factor of 5​

Step-by-step explanation:

zeros are factor of 5​

let say factors are a &  5/a

(x - a)(x - 5/a)

= x²  - x(a + 5/a) + 5

= ax²  - x(a² + 5)  + 5a

now by putting value of a we can get desired Quadratic polynomial

a = 1

= x² - 6x +  5

a = 2

2x² - 9x + 10

and so on