What is a polynomial function in standard form with zeroes 1, 2, -2, and -3? (1 point)
Ox4 + 2x3 + 7x2 - 8x + 12
Ox4 + 2x3 - 7x2 - 8x + 12
0x4 + 2x - 7x2 + 8x + 12
x4 + 2x3 + 7x2 + 8x + 12

f(x) = + 2x³ - 7x² - 8x + 12

Step-by-step explanation:

Given the zeros of a polynomial , say x = a, x = b

Then the factors are (x - a), (x - b)

and the polynomial is the product of the factors

Given zeros are x = 1, x = 2, x = - 2, x = - 3 then the factors are

(x - 1), (x - 2), (x + 2), (x + 3), and the polynomial is

f(x) = (x - 1)(x - 2)(x + 2)(x + 3) ← expand pairs of factors using FOIL

     = (x² - 3x + 2)(x² + 5x + 6) ← distribute

     = + 5x³ + 6x² - 3x³ - 15x² - 18x + 2x² + 10x + 12 ← collect like terms

     =  + 2x³ - 7x² - 8x + 12

idk

step-by-step explanation: