Question

What is a polynomial function in standard form with zeros 1,2,-3and -1

Answer 1

p(x)= (x+1)(x+2)(x-3)(x-1)

then,multiplying two two terms

(x^2 +2x+x+2)(x^2-x-3x+3)

(x^2+3x+2)(x^2-4x+3)

x^4- 4x^3+3x^2 +3x^3-12x^2+9x+2x^2-8x+6)

x^4-x^3-7x^2+x+6