SOLUTION: Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.      Log On


   

Question 57110: Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

polynomial with leading 
coefficient 1 and degree
3 that has -1, 1, and 3 
as roots. 0 solutions

[x-(-1)](x-1)(x-3)

Remove the parentheses 
and change brackets to 
parentheses

(x+1)(x-1)(x-3)
(x+1)(x²-4x+3)

Multiply x by each of 
the three terms inside 
the parentheses Then 
multiply +1 by each of
the three terms in the 
parentheses

x³-4x²+3x+x²-4x+3

Swap the two middle two
terms to get like terms 
together

x³-4x²+x²+3x-4x+3

Combine the like terms
which are next to each 
other

x³-3x²-x+3

Edwin