Answer:
f(x) = 3x² -21x + 30
Step-by-step explanation:
Polynomial function of lowest degree with roots as 'a' and 'b' and leading coefficient as 'c' is given by:
P(x) = c (x - a) (x - b)
Given: Leading coefficient = 3, Roots = sqrt 5 and 2
P(x) = 3 (x - 5) (x - 2)
= 3 ( x² - 2x - 5x +10)
= 3 ( x² - 7x +10)
= 3x² - 21x + 30
