Write a polynomial if least degree with roots 9 and - 6

x² - 3x - 54

Step-by-step explanation:

given roots of a polynomial are 9 and - 6

this means that (x-9) and (x+6) are factors of the polynomial.

To get the polynomial with the least degree, simply multiply the two factors to obtain a quadratic expression (degree 2)

(x-9) (x+6)

= x² + 6x - 9x - 54

= x² - 3x - 54