Write the polynomial of least degree with roots - 2, 5, and 7.

For roots of - 2, 5, and 7.

x = - 2, x = 5, and x = 7

x = - 2 x = 5 x = 7

(x + 2) = 0 (x - 5) = 0 (x - 7) = 0

The polynomial of least degree would be:

(x - 2) (x - 5) (x - 7) = 0

(x - 2) (x - 5) = x (x - 5) - 2 (x - 5)

= x² - 5x - 2x + 10

= x² - 7x + 10

(x² - 7x + 10) (x - 7)

x (x² - 7x + 10) - 7 (x² - 7x + 10)

x³ - 7x² + 10x - 7x² + 49x - 70

x³ - 7x² - 7x² + 10x + 49x - 70

x³ - 14x² + 59x - 70

The least is x³ - 14x² + 59x - 70