SOLUTION: Suppose a polynomial P(x) when divided by x-5 has a quotient of 4x^3+5x^2+9x+13 and a remainder of 23. Find P(5).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Suppose a polynomial P(x) when divided by x-5 has a quotient of 4x^3+5x^2+9x+13 and a remainder of 23. Find P(5).      Log On


   

Question 325286: Suppose a polynomial P(x) when divided by x-5 has a quotient of 4x^3+5x^2+9x+13 and a remainder of 23. Find P(5).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remainder theorem: If you divide a polynomial p(x) by x-k to get a quotient q(x) and a remainder 'r', then p(k)=r


So by the remainder theorem, P%285%29=23