SOLUTION: Find A Polynomial with leading coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I have X^3 + 3X^2 + X + 3. Is this correct. Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find A Polynomial with leading coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I have X^3 + 3X^2 + X + 3. Is this correct. Thank you.      Log On


   

Question 45032This question is from textbook
: Find A Polynomial with leading coefficient 1 and degree 3 that has 1, 1, and 3 as roots.
I have X^3 + 3X^2 + X + 3.
Is this correct. Thank you. This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(x - 1)(x - 1)(x - 3)
(x^2 - 2x + 1)(x - 3)
x^3 - 2x^2 + x - 3x^2 + 6x - 3
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+