Question

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

Answer 1

x² -3x - 54

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