Answer:
The sum of the roots of a polynomial is 5/3, the product of the same polynomial is -11. Write the polynomial function in standard form.n:
Answer:
f(x) = x³ - 7x - 6
Step-by-step explanation:
Given that the zeros are x = - 1, x = - 2 and x = 3 then the corresponding factors are
(x + 1), (x +2) and (x - 3)
The polynomial is then the product of the factors, that is
f(x) = (x + 1)(x + 2)(x - 3) ← expand the first pair using FOIL
= (x² + 3x + 2)(x - 3) ← distribute
= x³ - 3x² + 3x² - 9x + 2x - 6 ← collect like terms
= x³ - 7x - 6
