A polinomial in x whose zeros are -2, -1 and 3 is

Answer 1

To find the factors, subtract the roots.

so factors are x - (-1) = x + 1, x – (–2) = x + 2, and x – 3.

To find the general form of the  polynomial, multiply the factors:

(x + 1)(x + 2)(x - 3)

= (x² + 2x + x + 2)(x - 3)

= (x² + 3x  + 2)(x - 3)

= x³ + 3x² + 2x - 3x² - 9x - 6

= x³ + 0x² - 7x - 6

The general form of the polynomial is a(x³ + 0x² - 7x - 6).

To find the value of a you need the point.