SOLUTION: The polynomial f(x) divided x-3 results in a quotient of x squared+3x-5 with the remainder of 2. Find f(3).

Algebra ->  Trigonometry-basics -> SOLUTION: The polynomial f(x) divided x-3 results in a quotient of x squared+3x-5 with the remainder of 2. Find f(3).      Log On


   

Question 92728This question is from textbook Algebra and Trigonometry
: The polynomial f(x) divided x-3 results in a quotient of x squared+3x-5 with the remainder of 2. Find f(3). This question is from textbook Algebra and Trigonometry

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
undoing the division gives (x-3)(x^2+3x-5)+2 ... x^3+3x^2-5x-3x^2-9x+15+2 ... f(x)=x^3-14x+17

f(3)=3^3-14(3)+17=27-42+17=2

this is an example of the remainder theorem; which states that when you divide f(x) by (x-a) the remainder equals f(a)