What is a polynomial function in standard form with zeros 1, 2, -2, and -3?
x^4 +2 x^3 +7x^2 - 8x + 12
X^4 + 2X^3 -7x^2 - 8X + 12
x^4 + 2X^3 -7x^2 + 8X + 12
x^4 + 2X^3 +7X^2 + 8X + 12
The polynomial function in standard form with zeros 1, 2, -2, and -3 is:
(x - 1)(x - 2)(x + 2)(x + 3)
Expanding this equation, we get:
(x^2 - 3x + 2)(x^2 + 5x + 6)
Multiplying these polynomials together, we get:
x^4 + 2x^3 - 7x^2 - 8x + 12
Therefore, the correct answer is:
x^4 + 2x^3 - 7x^2 - 8x + 12