SOLUTION: Find a polynomial coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I came up with x^3-3x^2+x-3 but not sure if it's right. thanks for looking it over.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I came up with x^3-3x^2+x-3 but not sure if it's right. thanks for looking it over.      Log On


   

Question 43812This question is from textbook Algebra and trigonometry with analytic geometry
: Find a polynomial coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I came up with x^3-3x^2+x-3 but not sure if it's right. thanks for looking it over. This question is from textbook Algebra and trigonometry with analytic geometry

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
No
(x - 1)(x - 1)(x - 3) = f(x)
(x^2 - 2x + 1)(x - 3) = f(x)
x^3 - 2x^2 + x - 3x^2 + 6x - 3 = f(x)
x^3 - 5x^2 + 7x - 3 = f(x)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3+-+5x%5E2+%2B+7x+-+3+%29+