SOLUTION: Please help me with these. I have to write a polynomial function in standard form with the following zeros: a. 1,1,-1 b.1,2,3 c.-1,-1,4 d.3,-7,0 thank you so much

Algebra ->  Rational-functions -> SOLUTION: Please help me with these. I have to write a polynomial function in standard form with the following zeros: a. 1,1,-1 b.1,2,3 c.-1,-1,4 d.3,-7,0 thank you so much      Log On


   



Question 548304: Please help me with these. I have to write a polynomial function in standard form with the following zeros:
a. 1,1,-1
b.1,2,3
c.-1,-1,4
d.3,-7,0
thank you so much

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with these. I have to write a polynomial function in standard form with the following zeros:
a. 1,1,-1
(x-1)(x-1)(x+1)=(x-1)(x^2-1)
=x^3-x^2-x+1
..
b.1,2,3
(x-1)(x-2)(x-3)=(x^2-3x+2)(x-3)=x^3-3x^2+2x-3x^2+9x-6
=x^3-6x^2+11x-6
..
c.-1,-1,4
(x+1)(x+1)(x-4)=(x^2+2x+1)(x-4)=x^3+2x^2+x-4x^2-8x-4
=x^3-2x^2-7x-4
..
d.3,-7,0
(x-3)(x+7)(x)=(x^2+4x-21)(x)
=x^3+4x^2-21x