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.Com
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)   (Show Source): You can put this solution on YOUR website!
The description as that should mean that and . You can continue from this and solve for a and c. Once found, find the last root.
RELATED QUESTIONS

Let P(x) be a polynomial of the form P(x) = 2x^3 + ax^2 - 23x + c, such that 12 and 7... (answered by CPhill,greenestamps,ikleyn,mccravyedwin)
Let p(x) be a nonzero polynomial with real coefficients such that P(x) = p(0)+p(1)... (answered by ikleyn)
Let p(x) be a nonzero polynomial with realcofficients such that P(x)... (answered by math_helper)
Let p(x) =x^5 - 10x^2 + 15x -6 X=1 is a root of p(x) of multiplicity 3. Find the two... (answered by josgarithmetic)
1)consider the polynomial p(x)=x^3+ax^2+bx-12 given that (x+3)and (x-4)are factors of... (answered by Edwin McCravy)
So for this question(All the roots of x^2 + px + q = 0 are real, where p and q are real... (answered by ikleyn)
P(x) is a polynomial such that: P(x + 3/2)=P(x) If P(17) = 687, find the value of... (answered by KMST)
Solve these two equations: (a) The quadratic equation {{{2ax^2-4ax+a+1=0}}} has two... (answered by ikleyn,lotusjayden,MathTherapy)
given that x=3+i is a root of p(x)=3x^4+ax^3+34x^2+bx-20 find the value of a and b if... (answered by greenestamps)