SOLUTION: Let P(x) be a polynomial of the form P(x) = 2x^3 + ax^2 - 23x + c, such that 3 and 1 are roots of P(x). What is the third root? For the polynomial in part (a), compute the ord

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let P(x) be a polynomial of the form P(x) = 2x^3 + ax^2 - 23x + c, such that 3 and 1 are roots of P(x). What is the third root? For the polynomial in part (a), compute the ord      Log On


   

Question 1209714: Let P(x) be a polynomial of the form
P(x) = 2x^3 + ax^2 - 23x + c,
such that 3 and 1 are roots of P(x). What is the third root?
For the polynomial in part (a), compute the ordered pair (a,c).
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The description as that should mean that 2%2A3%5E3%2Ba%2A3%5E2-23%2A3%2Bc=0 and 2%2A1%5E3%2Ba%2A1%5E2-23%2A1%2Bc=0. You can continue from this and solve for a and c. Once found, find the last root.