Answer:
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
